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Fractions Multiplication: Simple Fractions

Multiplying simple fractions is easy. All we have to do is multiply the two numerators and the two denominators. However, what are we doing when we do this?

Our first example is: 1/2 × 1/4:

We start with 1/2:

1 / 2
 plus     White Box  equals     White Box   White Box   White Box   White Box   White Box   White Box   White Box

We want 1/4 of this 1/2:

1 / 2
1 / 8
 plus     White Box  equals     White Box   White Box   White Box   White Box   White Box   White Box   White Box

As you see, the answer is 1/8. The equation is:

1/2 × 1/4 = 1/8.

1 times 1 is 1. The numerator is 1. 2 times 4 is 8. The denominator is 8,

Here is another example: 2/3 × 1/6:

We start with 2/3:

2 / 3

We want 1/6 of this 2/3:

2 / 3
2 / 18
   White Box   White Box  plus     White Box   White Box  equals     White Box   White Box   White Box   White Box   White Box   White Box   White Box   White Box   White Box   White Box   White Box   White Box   White Box   White Box   White Box   White Box   White Box

As you see, the answer is 2/18. The equation is:

1/6 × 2/3 = 2/18

1 times 2 is 1. The numerator is 1. 6 times 3 is 18. The denominator is 18.

Although FoxyMath will accept 2/18 as the correct answer, 2/18 can be simplified to 1/9:

Factors of 2: 1, 2
Factors of 18: 1, 2, 3, 6, 9, 18.

2 is the least common factor of the number 2 and the number 18.
2 ÷ 2 = 1
18 ÷ 2 = 9.

Because you are just starting to learn how to add fractions, FoxyMath will accept 2/18 as the correct answer. However, you should be able to use what you learned in Fractions: Fundamentals to simplify this to 1/9. If you don't understand this then please review Fractions: Fundamentals.

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