Converting Mixed Fractions: 2 1/12 × 4 as a Fraction
In this article, we will explore how to multiply a mixed fraction, specifically 2 1/12, by 4 and convert the result into a simplified fraction.
Step 1: Convert the Mixed Fraction to an Improper Fraction
To multiply a mixed fraction, we need to convert it into an improper fraction first. An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).
The mixed fraction 2 1/12 can be converted into an improper fraction by multiplying the whole number part (2) by the denominator (12) and then adding the numerator (1):
2 × 12 = 24 24 + 1 = 25
So, the improper fraction equivalent of 2 1/12 is 25/12.
Step 2: Multiply by 4
Now, we can multiply the improper fraction 25/12 by 4:
25/12 × 4 = ?
To multiply fractions, we multiply the numerators (the top numbers) and multiply the denominators (the bottom numbers):
(25 × 4) / (12 × 1) = 100/12
Step 3: Simplify the Fraction
The resulting fraction 100/12 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 100 and 12 is 4.
100 ÷ 4 = 25 12 ÷ 4 = 3
So, the simplified fraction is:
25/3
Therefore, 2 1/12 × 4 as a fraction is equal to 25/3.
