Question

3/5 and 4/7
into like fractions

​

Answer 1

Answer:

The like fractions are 21/35 and 20/35.

Step-by-step explanation:

Like fractions:-

• The group of two or more fractions that have exactly the same denominator are called like fractions.
• Example: 2/7, 6/7, etc.

Step 1 of 1

Consider the given fractions as follows:

3/5 and 4/7

The denominators of both the fractions are 5 and 7.

Then,

The LCM of the numbers 5 and 7 is,

= 5 $\times$ 7

= 35

Multiply and divide the fraction 3/5 by the number 7, we get

= $\frac{3\times7}{5\times7}$

= 21/35

Similarly,

Multiply and divide the fraction 4/7 by the number 5, we get

= $\frac{4\times5}{7\times5}$

= 20/35

Final answer: The like fractions are 21/35 and 20/35.

#SPJ3

Answer 2

The like fractions are $\frac{21}{35} , \frac{20}{35}$.

Step-by-step explanation:

• Based on the denominators, like and unlike fractions are two popular forms of fractions. The term "like fractions" refers to two or more fractions that have the same denominator, whereas the term "unlike fractions" refers to two or more fractions that have different denominators. For instance, half and three-fourth are not equivalent fractions, whereas half and three by two are.
• According to the given information, the fraction that are given are $\frac{3}{5}$ and $\frac{4}{7}$ . Now, to convert these unlike fractions to like fractions, we need to make both the denominators same. This is possible by taking the least common multiple or the lcm of both the denominators. Now, the lcm of 5 and 7 is 35. Then, we get,

Multiplying the numerator and the denominator of the first fraction by 7, we get, $\frac{3*7}{5*7} = \frac{21}{35}$ .

In a similar manner, multiplying the numerator and the denominator of the second fraction by 5, we get,

$\frac{4*5}{7*5}=\frac{20}{35}$.

Thus, the like fractions are $\frac{21}{35} , \frac{20}{35}$.

Learn more here

https://brainly.in/question/9464639

Learn more

https://brainly.in/question/16275199