Answer:
[tex]4 \frac{4}{15}[/tex]
Step-by-step explanation:
Given expression:
[tex]5\frac{1}{3} \div 1\frac{1}{4}[/tex]
Rewrite the mixed numbers as improper fractions:
[tex]\implies \dfrac{5 \times 3+1}{3} \div \dfrac{1 \times 4+1}{4}[/tex]
[tex]\implies \dfrac{16}{3} \div \dfrac{5}{4}[/tex]
To divide fractions, flip the second fraction, then multiply:
[tex]\implies \dfrac{16}{3} \times \dfrac{4}{5}[/tex]
[tex]\implies \dfrac{16\times4}{3\times5}[/tex]
[tex]\implies \dfrac{64}{15}[/tex]
Divide the numerator by the denominator:
[tex]\implies 64 \div 15 = 4 \; \rm remainder\;4[/tex]
The mixed number answer is the whole number and the remainder divided by the denominator:
[tex]\implies 4 \frac{4}{15}[/tex]
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.
