Converting Mixed Numbers to Fractions: 1 1/8 x 3 1/3
When dealing with mixed numbers, it's essential to understand how to convert them into fractions. In this article, we'll explore how to convert the mixed numbers 1 1/8 and 3 1/3 into fractions, and then multiply them together.
Converting 1 1/8 to a Fraction
To convert the mixed number 1 1/8 to a fraction, we need to find the equivalent fraction. The whole number part (1) will be the numerator, and the denominator will be the same as the denominator of the fraction part (8).
Fraction: 1 1/8 = 9/8
Converting 3 1/3 to a Fraction
Similarly, to convert the mixed number 3 1/3 to a fraction, we'll follow the same steps. The whole number part (3) will be the numerator, and the denominator will be the same as the denominator of the fraction part (3).
Fraction: 3 1/3 = 10/3
Multiplying the Fractions
Now that we have the fractions, we can multiply them together.
(9/8) × (10/3) = ?
To multiply fractions, we'll multiply the numerators (9 and 10) and multiply the denominators (8 and 3). Then, we'll simplify the result.
(9 × 10) / (8 × 3) = 90/24
We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 6.
90 ÷ 6 = 15 24 ÷ 6 = 4
So, the result of multiplying the fractions is:
15/4
There you have it! We've successfully converted the mixed numbers 1 1/8 and 3 1/3 to fractions, multiplied them together, and simplified the result.
