Question

Rusty's hair grows at the rate of 1/4 inch per month.How many months will it take Rusty's hair to grow 5/8 inch? Explain your answer using words, and show your work using division of fractions.

Answer 1

Rusty's hair will take 2.5 months to grow 5/8 inch.

Step-by-step explanation:

To find out how many months it will take for Rusty's hair to grow 5/8 inch, we can set up a division problem using fractions: (5/8) ÷ (1/4).

We multiply the numerator of the first fraction (5) by the denominator of the second fraction (4), and multiply the denominator of the first fraction (8) by the numerator of the second fraction (1). This gives us: (5 × 4) ÷ (8 × 1).

Simplifying this expression, we have: 20 ÷ 8 = 2.5.

Therefore, it will take Rusty's hair 2.5 months to grow 5/8 inch.

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