Simplifying Fractions: 14/15 x 3/2
When working with fractions, it's essential to simplify them to their simplest form. In this article, we'll explore how to simplify the fraction 14/15 x 3/2.
The Problem
The given problem is to multiply two fractions:
14/15 x 3/2
To solve this problem, we need to follow the rules of multiplying fractions.
Multiplying Fractions
To multiply fractions, we need to multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), and then simplify the resulting fraction.
Step 1: Multiply the Numerators
Multiply the numerators (14 and 3):
14 x 3 = 42
Step 2: Multiply the Denominators
Multiply the denominators (15 and 2):
15 x 2 = 30
Step 3: Write the Resulting Fraction
Now, write the resulting fraction by combining the product of the numerators and the product of the denominators:
42/30
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator.
The GCD of 42 and 30 is 6.
Divide both the numerator and the denominator by the GCD:
42 ÷ 6 = 7 30 ÷ 6 = 5
The Simplified Fraction
The simplified fraction is:
7/5
Therefore, the result of multiplying 14/15 x 3/2 is 7/5 in its simplest form.
