Fraction Calculation: 5/16 x 3-5/8
In this article, we will discuss the calculation of a fraction problem: 5/16 x 3-5/8. This type of problem requires us to multiply a fraction by a mixed number.
Step 1: Convert the Mixed Number to an Improper Fraction
To multiply a fraction by a mixed number, we need to convert the mixed number to an improper fraction. In this case, the mixed number is 3-5/8.
To convert it to an improper fraction, we multiply the whole number part (3) by the denominator (8) and then add the numerator (5).
3-5/8 = (3 x 8) + 5 / 8 = 24 + 5 / 8 = 29 / 8
So, the mixed number 3-5/8 is equal to the improper fraction 29/8.
Step 2: Multiply the Fractions
Now that we have converted the mixed number to an improper fraction, we can multiply the two fractions.
5/16 x 29/8 = ?
To multiply fractions, we multiply the numerators (5 and 29) and multiply the denominators (16 and 8).
Numerators: 5 x 29 = 145 Denominators: 16 x 8 = 128
So, the product of the two fractions is:
145 / 128
Result
The result of the fraction calculation 5/16 x 3-5/8 is 145 / 128.
I hope this article helps you understand how to multiply a fraction by a mixed number.
