(The following math problem is from my math book) Select TWO questions that can be answered by calculating 2 1/4 ÷ 3/8.

A. Sarah has 214 cups of sugar. A recipe she makes requires 38 cups of sugar per batch. How many batches can Sarah make with the sugar she has?

B. There were 214 pizzas in the kitchen. Martina and her friends ate 38 of the pizza. How many pizzas were left?

C. Ivan makes 214 quarts of salad dressing. Vinegar makes up 38 of the volume of the salad dressing. How many quarts of vinegar did Ivan use?

D. Junior ran 214 miles today. This is 38 the distance he ran last weekend. How many miles did Junior run last weekend?

E. A 38-ton load is placed in a 214-ton truck. How much does the truck weigh with the load in it?

1/6=6

Step-by-step explanation:

Conversion a mixed number 2 1/

4

to a improper fraction: 2 1/4 = 2 1/

4

= 2 · 4 + 1/

4

= 8 + 1/

4

= 9/

4

To find new numerator:

a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/

4

= 8/

4

b) Add the answer from previous step 8 to the numerator 1. New numerator is 8 + 1 = 9

c) Write a previous answer (new numerator 9) over the denominator 4.

Two and one quarter is nine quarters

Divide: 9/

4

: 3/

8

= 9/

4

· 8/

3

= 9 · 8/

4 · 3

= 72/

12

= 12 · 6/

12 · 1

= 6

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/

8

is 8/

3

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 12 gives 6/

1

.

In words - nine quarters divided by three eighths = six.

a. is correct