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Making Cents

How do you represent change with fractions?

Goal:

Goal:

Close-up stack of american coins.

Fractions are another way to represent amounts of money. The chart below demonstrates how to write an amount of money as a fraction. One dollar is equal to 100 cents. This is why cents, or change, is recorded into the hundredths place.

To record cents as a fraction, use the denominator of 100.

Close up of one dollar.

How are cents, or change, written as a fraction? Review the slides to find out how to represent money values that are less than a dollar as a fraction.

Count Your Change

Four dimes and one nickel.

The first step is to count your coins:

4 dimes = $0.40
1 nickel = $0.05

4 dimes + 1 nickel = $0.45.

What’s the Denominator?

When working with money, one whole dollar represents the whole group. This means the denominator will be 100, because 100 cents equals 1 dollar.

Fraction bar with one hundred in the denominator.

Know Your Numerator

The numerator of a fraction represents the part of the whole dollar that you have.

When working with money, the numerator is your cents. In this example, you have 45 cents. This means the fraction will be \(\mathsf{ \frac{45}{100} }\).

Four dimes and one nickel. Fraction with forty five in the numerator and one hundred in the denominator.

Time to practice! Use what you have learned to record each amount of change as a fraction. When ready, click a box to reveal the solution.