Multiplying Fractions: 1 1/7 x 3/5
This article will walk you through the steps of multiplying the mixed number 1 1/7 by the fraction 3/5.
Converting Mixed Numbers to Fractions
First, we need to convert the mixed number 1 1/7 to a fraction.
- Multiply the whole number (1) by the denominator of the fraction (7): 1 x 7 = 7.
- Add the numerator of the fraction (1) to the result: 7 + 1 = 8.
- Keep the same denominator: 8/7.
Now our problem looks like this: 8/7 x 3/5.
Multiplying Fractions
To multiply fractions, we multiply the numerators and the denominators.
- Multiply the numerators: 8 x 3 = 24
- Multiply the denominators: 7 x 5 = 35
The product is 24/35. This fraction is already in its simplest form, so we don't need to simplify it further.