Question

A candy bar is \large 5\frac{1}{3} inches long. If it is divided into pieces that are each \large 1\frac{1}{4} inches long, then how many pieces of candy bar will there be?

( PLEASEEEE I need help on this one I really appreciate it )

Answer 1

4 4/15

Explanation:

5 1/3 divided by 1 1/4

16/3 divided by 5/4

16/3*4/5

64/15

4 4/15

Answer 2

`4 (4)/(15)`

Explanation:

Given expression:

`5(1)/(3) / 1(1)/(4)`

Rewrite the mixed numbers as improper fractions:

`\implies (5 * 3+1)/(3) / (1 * 4+1)/(4)`

`\implies (16)/(3) / (5)/(4)`

To divide fractions, flip the second fraction, then multiply:

`\implies (16)/(3) * (4)/(5)`

`\implies (16*4)/(3*5)`

`\implies (64)/(15)`

Divide the numerator by the denominator:

`\implies 64 / 15 = 4 \; \rm remainder\;4`

The mixed number answer is the whole number and the remainder divided by the denominator:

`\implies 4 (4)/(15)`

Therefore, if a candy bar of length 5¹/₃ inches is divided into pieces that are each 1¹/₄ inches long, there will be 4⁴/₁₅ pieces of candy bar.