3/8 x 7 2/3 = ?

You can use the check method (if you know what that is)!

I personally would change the MIXED fraction 7 2/3 to an improper one...

3x7+2 gives the numerator.
So 23/2 x 3/8 you can multiply across the top and across the bottom to get your answer : )

One-third of a cake is to be shared equally among three children.

What fraction of the whole cake will each child get?

1/3 * 1/3 = 1/9

To solve 3/8 x 7 2/3, we can follow these steps:

Step 1: Convert the mixed number 7 2/3 into an improper fraction.
7 2/3 = (7 x 3 + 2) / 3 = 23/3

Step 2: Multiply the numerator of the first fraction (3) by the numerator of the second fraction (23) to get the numerator of the product.
3 x 23 = 69

Step 3: Multiply the denominators of the fractions (8 and 3) to get the denominator of the product.
8 x 3 = 24

Step 4: The product is given by the fraction with the numerator and denominator obtained from steps 2 and 3.
3/8 x 7 2/3 = 69/24

To check the answer using the check method, we can simplify the fraction 69/24 and compare it to the mixed number 7 2/3.

Step 1: Simplify the fraction 69/24.
Divide both the numerator and denominator by their greatest common divisor (GCD), which is 3.
69/24 = (69 ÷ 3) / (24 ÷ 3) = 23/8

Step 2: Compare 23/8 to the original mixed number 7 2/3.
23/8 ≠ 7 2/3

Therefore, the answer to 3/8 x 7 2/3 is 69/24, which is not equal to 7 2/3.