Simplifying Fractions: 3/22 x 6 ================================================×</h2>
When working with fractions, it's essential to understand how to simplify them to their lowest terms. In this article, we'll explore how to simplify the fraction 3/22 multiplied by 6.
The Problem
The problem at hand is to simplify the fraction 3/22 multiplied by 6. To do this, we need to follow the correct order of operations and apply the rules of fraction multiplication.
Step 1: Multiply the Numerators
First, we need to multiply the numerators (the numbers on top) of both fractions. In this case, we have:
3 (numerator of 3/22) × 6 = 18
Step 2: Multiply the Denominators
Next, we need to multiply the denominators (the numbers on the bottom) of both fractions. In this case, we have:
22 (denominator of 3/22) × 1 (implied denominator of 6) = 22
Step 3: Write the New Fraction
Now, we can write the new fraction by combining the multiplied numerators and denominators:
18/22
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of both the numerator and denominator. The GCD of 18 and 22 is 2.
Divide both the numerator and denominator by the GCD:
18 ÷ 2 = 9 22 ÷ 2 = 11
The simplified fraction is:
9/11
Therefore, 3/22 multiplied by 6 is equal to 9/11.
