15 / 1 1/4

Check the final answer first, then review the worked steps.

Problem

15 / 1 1/4

Answer

12

Step-by-step solution

1. Convert the mixed number to an improper fraction: To divide by a mixed number, first convert $1 \frac{1}{4}$ into an improper fraction. Multiply the whole number by the denominator and add the numerator: $1 \times 4 + 1 = 5$. So, $1 \frac{1}{4} = \frac{5}{4}$.

1. Set up the division problem: Now the expression is $15 \div \frac{5}{4}$.

1. Multiply by the reciprocal: Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $\frac{5}{4}$ is $\frac{4}{5}$. Therefore, the expression becomes $15 \times \frac{4}{5}$.

1. Perform the multiplication: Multiply the whole number by the numerator: $15 \times 4 = 60$. Then divide by the denominator: $\frac{60}{5}$.

1. Simplify the result: Divide $60$ by $5$ to get $12$.

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