1 5/8 Divided By 1/4 As A Fraction

2 min read Jun 07, 2024
1 5/8 Divided By 1/4 As A Fraction

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.