1 5/8 Divided by 1/4 as a Fraction
Dividing fractions can be a bit tricky, but don't worry, we've got you covered! In this article, we'll show you how to divide 1 5/8 by 1/4 and simplify the result as a fraction.
Converting Mixed Numbers to Improper Fractions
First, let's convert the mixed number 1 5/8 to an improper fraction:
1 5/8 = (1 × 8) + 5 / 8 = 13/8
Dividing Fractions
Now, let's divide 13/8 by 1/4:
(13/8) ÷ (1/4) = ?
To divide fractions, we need to invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
(13/8) × (4/1) = 52/8
Simplifying the Result
We can simplify the result by dividing both the numerator and denominator by their greatest common divisor (GCD):
GCD(52, 8) = 4
52 ÷ 4 = 13 8 ÷ 4 = 2
So, the simplified result is:
13/2
And that's it! We've successfully divided 1 5/8 by 1/4 and simplified the result as a fraction, which is equal to 13/2.