Question

Add and subtract the fractions with a common denominator: 4/7 + 2/3.

A) 10/21
B) 18/21
C) 10/7
D) 6/10

Answer 1

To add and subtract fractions with a common denominator, perform the operation on the numerators while keeping the denominator the same.

Step-by-step explanation:

To add and subtract fractions with a common denominator, you can simply perform the operations on the numerators while keeping the denominator the same. In this case, the common denominator is 21, which is the product of 7 and 3.

So, 4/7 + 2/3 becomes (4 * 3)/(7 * 3) + (2 * 7)/(3 * 7). This simplifies to 12/21 + 14/21.

Adding the numerators gives us 26, so the answer is 26/21, which can also be simplified to 10/7.