Simplifying 3 1/4 x 4/5 as a Fraction
In this article, we will explore how to simplify the multiplication of two mixed numbers, 3 1/4 and 4/5, as a fraction.
Step 1: Convert Mixed Numbers to Improper Fractions
To multiply mixed numbers, we need to convert them to improper fractions first.
3 1/4
To convert 3 1/4 to an improper fraction, we multiply the denominator (4) by the whole number part (3) and then add the numerator (1).
(4 × 3) + 1 = 13
So, 3 1/4 is equal to:
13/4
4/5
No conversion is needed for 4/5 as it is already an improper fraction.
Step 2: Multiply the Fractions
Now that we have both fractions in improper form, we can multiply them.
(13/4) × (4/5)
To multiply fractions, we multiply the numerators (13 and 4) and multiply the denominators (4 and 5).
Numerator: 13 × 4 = 52 Denominator: 4 × 5 = 20
So, the product of the two fractions is:
52/20
Step 3: Simplify the Fraction
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 52 and 20 is 4.
Numerator: 52 ÷ 4 = 13 Denominator: 20 ÷ 4 = 5
The simplified fraction is:
13/5
Therefore, 3 1/4 x 4/5 as a fraction is equal to 13/5.
