Fraction Frog

5	×	10
9		15

Step 1: Analyze the operation

This is a divsion problem, so we need to flip the second fraction. Then we need to multiply the numerator and denominator of the fractions to get the quotient.

5	×	10
9		15

Step 2: Flip Second Fraction

When we divide fractions, we have to switch the numerator and denominator of the second fraction:

10	→	15
15		10

Now our second fraction is 15/10.

5	×	15
9		10

Step 3: Multiply

Multiply the numerators together, and multiply the denominators together:

5	×	15	=	75
9		10		90

75

90

Step 4: Reduce

The fraction 75/90 is not in lowest terms, so we need to reduce it. List the factors of the numerator and denominator:

Factors of 75: 1, 3, 5, 15, 25, 75

Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

15 is the largest factor of both 75 and 90, so we need to divide both the numerator and denominator by 15.

Numerator: 75 ÷ 15 = 5

Denominator: 90 ÷ 15 = 6

Write the new fraction:

5/6