Question

Anna is making a pot of vegetable bean soup using a 14 1/4-cup measuring cup. In order to measure 78 7/8 cups of turnips, how many times will Anna need to fill the measuring cup? Show your work.

Answer 1

Anna will need to fill the measuring cup approximately 0.699 times to measure 78 7/8 cups of turnips.

Step-by-step explanation:

To measure 78 7/8 cups of turnips, Anna will need to fill the measuring cup multiple times. First, we need to convert the 14 1/4-cup measuring cup to an improper fraction. 14 1/4 can be converted to 57/4. Next, we divide 78 7/8 by 57/4. To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, (78 7/8) ÷ (57/4) becomes (78 7/8) x (4/57). Multiply the numerators and denominators: (78 x 4 + 7) ÷ (8 x 57) = 319 ÷ 456. Dividing 319 by 456 gives us approximately 0.699, which indicates that Anna will need to fill the measuring cup approximately 0.699 times to measure 78 7/8 cups of turnips.