Question

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

Answer 1

To find equivalent fractions for 2/7 and 5/12 using the least common denominator, calculate the LCD, which is 84. Then, create equivalent fractions by multiplying the numerators and denominators to get 24/84 for 2/7 and 35/84 for 5/12.

Step-by-step explanation:

To find equivalent fractions for 2/7 and 5/12 using the least common denominator (LCD), you first need to find the LCD for the two denominators 7 and 12. The LCD is the smallest number that both denominators can divide into evenly, which in this case is 84. Now, to get equivalent fractions, multiply the numerator and denominator of each fraction by a number that will make the denominator equal to 84.

For 2/7, you would multiply both the numerator (2) and the denominator (7) by 12, since 7 * 12 equals 84. This gives us the equivalent fraction of 24/84.

For 5/12, you would multiply both the numerator (5) and the denominator (12) by 7, since 12 * 7 equals 84. This gives us the equivalent fraction of 35/84.

Therefore, the equivalent fractions for 2/7 and 5/12 using the least common denominator are 24/84 and 35/84, respectively.

Answer 2

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