Question

a wheel makes 3 7over8 revoltuions per minute. if ti rotates for 22 min, how many revolutions does it make?

Answer 1

Is that \(3 \frac{7}{8}\) revolutions per minute? I'll assume it is. The procedure is the same, in any case. We have a rate problem:

total revolutions = rate * time

rate = \(3 \frac{7}8\) revolutions/minute
time = 22 minutes
total revolutions = \(3 \frac{7}8 * 22\)

with a mixed fraction, convert it to an improper fraction by multiplying the whole number * denominator and adding the numerator — this gives you the numerator of the improper fraction. The denominator remains the same.

\[3 \frac{7}8 \rightarrow \frac{3*8+7}{8} = \frac{31}{8}\]Now you can do the multiplication. Alternatively, convert the rate to a decimal and multiply.