**Equivalent Fractions For 7 8** – Equivalent fractions can be defined as fractions whose numerator and denominator may be different but represent the same value. For example, 9/12 and 6/8 are equivalent fractions because they both simplify to 3/4.

As seen in the example above, all equivalent fractions reduce to the same fraction in its simplest form. Study the lesson to get a better idea of how to find equivalent fractions and how to check if given fractions are equivalent.

## Equivalent Fractions For 7 8

Two or more fractions are considered equivalent if they are equivalent to the same fraction when simplified. For example, fractions equivalent to 1/5 are 5/25, 6/30, and 4/20, which simplify to the same fraction, 1/5.

#### How To Find Equivalent Fractions

Equivalent fractions are defined as fractions that have the same value regardless of their numerator and denominator. For example, 6/12 and 4/8 are both equal to 1/2 when simplified, meaning they are equivalent in nature.

Example: 1/2, 2/4, 3/6, and 4/8 are equivalent fractions. Let’s see how their values are similar. We will represent each of these fractions as circles with shaded parts. Overall, it can be seen that the shaded areas in all images represent the same area.

Here we can see that all the circles have the same amount of shaded part. Therefore, 1/2, 2/4, 3/6, and 4/8 are equivalent fractions.

#### Four Rational Number Equivalent To 5/8 Are:

Equivalent fractions can be written by multiplying or dividing both the numerator and denominator by the same number. This is why when simplifying, these fractions are reduced to a single number. Let’s understand the two ways we can create equivalent fractions:

To find an equivalent fraction for any fraction, multiply the numerator and denominator by the same number. For example, to find the equivalent fraction 3/4, multiply the numerator 3 and the denominator 4 by the same number, say 2. So 6/8 is the equivalent fraction 3/4. Some other equivalent fractions can be found by multiplying the numerator and denominator of the given fraction by the same number.

To find an equivalent fraction for any fraction, divide the numerator and denominator by the same number. For example, to find the equivalent fraction 72/108, we would first find their common factors. We know that 2 is a common factor of both 72 and 108. Therefore, the equivalent fraction 72/108 can be found by dividing its numerator and denominator by two. So 36/54 is the equivalent fraction of 72/108. Let’s see how to simplify the fraction further:

### What Are Equivalent Fractions? Twinkl Ca Teaching Wiki

Therefore, some equivalent fractions of 72/108 are 36/54, 18/27, 6/9, and 2/3. Here, 2/3 is a simplified form of 72/108 because 2 and 3 have no common factors (other than 1).

We need to simplify the given fractions to see if they are equivalent or not. To obtain equivalent numbers, simplifications can be made to the point where both numerator and denominator must still be whole numbers. There are different methods of identifying whether given fractions are equivalent or not. Some of them are as follows:

The denominators of the fractions 2/6 and 3/9 are 6 and 9. The least common factor (LCM) of the denominators 6 and 9 is 18. Let’s multiply the denominators of both fractions by appropriate numbers to get 18. ,

#### Equivalent Fractions Textbook Exercise

We see that both fractions are equivalent to the same fraction 6/18. The given fractions are therefore equivalent.

Note: If the fractions are not equivalent, we can check whether the fraction is larger or smaller by looking at the denominators of the two resulting fractions. Therefore, this method can also be used to compare fractions.

Let’s find the decimal form of both fractions 2/6 and 3/9 to see if they give the same value.

### Math Hacks: Equivalent Fractions

To see if 2/6 and 3/9 are equivalent, we cross multiply them. If two products are equal, then the fractions are equivalent.

Let’s represent each of the fractions 2/6 and 3/9 in the same figures and check that the shaded parts of both are the same.

We can see that the shaded parts of both circles represent the same value. In other words, it can be seen that the shaded areas in both images represent the same area when viewed as a whole. The given fractions are therefore equivalent.

### Convert The Following Fraction Into Equivalent Like Fractiona)3/7 , 5/6b)5/6 , 7/16c) 3/4,5/6,7/8

Graphs and tables are often used to better present concepts because they serve as a handy reference for calculations and are easy to understand. Anchor charts and tables like the one below make it easier for students to understand equivalent fractions. Let’s use the following table to find fractions equivalent to 1/4.

Two or more fractions are considered equivalent fractions if they equal the same value regardless of their numerator and denominator. For example, 2/4 and 8/16 are equivalent fractions because they reduce to 1/2 when simplified.

There can be many examples of equivalent fractions, eg 8/12 and 6/9 are equivalent fractions because they reduce to one fraction (2/3) when simplified. Similarly, 4/7 and 28/49 are also equivalent fractions.

#### Equivalent Fractions Worksheets For 8th Grade On Quizizz

If the given fractions are simplified and converted to a common fraction, then they can be called equivalent fractions. In addition, there are many other methods to determine whether given fractions are equivalent or not. Some of them are as follows:

When two fractions are equivalent, it means that they are equal to the same value, despite their different numerators and denominators. In other words, when simplified, they reduce to a single fraction.

Equivalent fractions help us add, subtract, multiply, divide, and compare fractions, helping us solve many real-time problems.

#### Fractions Fun: 7 Activities That Keep Kids Engaged

An equivalent improper fraction means an equivalent fraction in improper form. A fraction is said to be improper when its numerator is greater than its denominator. For example, 3/2 is an improper fraction that equals 9/6.

Any two fractions can be considered equivalent if they equal the same value. There are various methods of determining whether fractions are equivalent. The basic method is to reduce them. If they are reduced to the same fraction, they are considered equivalent.

Equivalent fractions can be written by multiplying or dividing both the numerator and denominator by the same number. This is why when simplifying, these fractions are reduced to a single number. For example, let’s write the equivalent fraction for 2/3. We multiply the numerator and denominator by 4 to get (2 × 4)/(3 × 4) = 8/12. Therefore, 8/12 and 2/3 are equivalent fractions.

#### Unit 6 Investigation 1 Fraction Review

To write the equivalent fraction for 6/8, multiply the numerator and denominator by 2 to get (6 × 2)/(8 × 2) = 12/16. Therefore, 6/8 and 12/16 are equivalent fractions. Now we find another equivalent fraction for 6/8 by dividing it by a common number, say 2. After dividing both the numerator and denominator by 2, we get (6 ÷ 2)/(8 ÷ 2) = 3 /4. Therefore, 6/8 and 3/4 are equivalent fractions.

To find the equivalent fraction 1/4, multiply the numerator and denominator by the same number. So we multiply that by 2, which would be (1 × 2)/(4 × 2) = 2/8. Now, to find another equivalent fraction for 1/4, let’s multiply it by 3. That would be (1 × 3)/(4 × 3) = 3/12. So we get two equivalent fractions for 1/4, which are 2/8 and 3/12.

Two or more fractions are considered equivalent if they are equivalent to the same fraction when simplified. For example, fractions equivalent to 1/6 are 2/12, 3/18 and 4/24, which when simplified give the same fraction, i.e. 1/6.

### Ex 7.3, 6

To find the equivalent fraction 2/3, multiply the numerator and denominator by the same number. So we multiply that by 5, which would be (2 × 5)/(3 × 5) = 10/15. Now, to find another equivalent fraction for 2/3, let’s multiply it by 6. That would be (2 × 6)/(3 × 6) = 12/18. So we get two equivalent fractions for 2/3, which are 10/15 and 12/18.

To find the equivalent fraction 1/3, multiply the numerator and denominator by the same number. So we multiply that by 2, which would be (1 × 2)/(3 × 2) = 2/6. Now, to find another equivalent fraction for 1/3, let’s multiply it by 3. That would be (1 × 3)/(3 × 3) = 3/9. So we get two equivalent fractions for 1/3, which are 2/6 and 3/9.

To find the equivalent fraction 3/4, multiply the numerator and denominator by the same number. So we multiply that by 2, which would be (3 × 2)/(4 × 2) = 6/8. Now, to find another equivalent fraction for 3/4, let’s multiply it by 3.