Answer:
(2/5)/(2/7) = 1 2/5 miles per hour
Step-by-step explanation:
To find miles per hour, divide miles by hours:
(2/5 miles)/(2/7 hour) = (2/5)·(7/2) miles/hour = 7/5 miles/hour = 1 2/5 miles/hour
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It is often easiest to divide fractions by multiplying by the inverse of the denominator.
(2/5)/(2/7) = (2/5)·(7/2) = (7·2)/(5·2) = 7/5
When writing a problem of this sort in text (as here), parentheses are required around the numerator and denominator of the complex fraction. The meaning of 2/5/2/7 = 1/35 is very different from the meaning of (2/5)/(2/7) = 7/5.
