# Fraction Frog

 1 5 × 5 9 8

## Step 1: Analyze the operation

This is a multiplication problem, so we need to multiply the numerators and denominators of the fractions to get the product.

 1 5 × 5 9 8

## Step 2: Convert to improper form

It's difficult to perform arithmetic on mixed numbers, so we want to convert them to improper fractions. Use this formula for the conversion:

Whole × Denominator + Numerator = New Numerator

The first fraction needs to be converted to improper form. Plug in the values of the first fraction into the formula:

1 × 9 + 5 = 14

Re-writing the first fraction, we get 14/9.

 14 × 5 9 8

## Step 3: Multiply

Multiply the numerators across, and multiply the denominators across to get the product:

 14 × 5 = 70 9 8 72
 70 72

## Step 4: Reduce

The fraction 70/72 is not in lowest terms, so we need to reduce it. List the factors of the numerator and denominator:

Factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

2 is the largest factor of both 70 and 72, so we need to divide both the numerator and denominator by 2.

Numerator: 70 ÷ 2 = 35

Denominator: 72 ÷ 2 = 36

Write the new fraction:

35/36