Write equivalent fractions for 2/7 and 5/12 using the least common denominator

24/84 and 35/84

Step-by-step explanation:

Equivalent Fractions

Two fractions are equivalent if they name the same number. 2/5 and 4/10 are equivalent. We can compute fractions who are equivalent to a given fraction if we multiply or divide both numerator and denominator by the same number. In the previous example, 4/10 is equivalent to 2/5 because both parts are twice the first.

We are asked to find equivalent fractions for 2/7 and 5/12 using the least common denominator. We must find the least common number between 7 and 12. Since they are relatively prime numbers, the least common factor is their product, i. e. 7*12=84.

To find the equivalent fraction for 2/7, we multiply by 12 up and down to get 24/84

To find the equivalent fraction for 5/12, we multiply by 7 to get 35/84