Math

Question Calculate 15÷9515 \div \frac{9}{5} and express the result as an integer or a simplified fraction.

Studdy Solution

STEP 1

Assumptions1. The problem is to calculate 15÷9515 \div \frac{9}{5} . The answer should be an integer or a fraction in its lowest terms

STEP 2

The division of a number by a fraction is equivalent to the multiplication of that number by the reciprocal of the fraction. So, we can rewrite the problem as15÷95=15×5915 \div \frac{9}{5} =15 \times \frac{5}{9}

STEP 3

Now, we can perform the multiplication operation.
15×59=15×5915 \times \frac{5}{9} = \frac{15 \times5}{9}

STEP 4

Calculate the numerator of the fraction.
15×=7515 \times =75So, the expression becomes15×9=759\frac{15 \times}{9} = \frac{75}{9}

STEP 5

implify the fraction to its lowest terms. We can do this by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of75 and9 is3.
759=75÷39÷3\frac{75}{9} = \frac{75 \div3}{9 \div3}

STEP 6

Perform the division operation in the numerator and the denominator.
75÷39÷3=253\frac{75 \div3}{9 \div3} = \frac{25}{3}So, 15÷95=25315 \div \frac{9}{5} = \frac{25}{3}

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