2 1/4 Divided By 1 5/8 As A Fraction

3 min read Jul 19, 2024

2 1/4 Divided by 1 5/8 as a Fraction

To divide 2 1/4 by 1 5/8, we need to convert both mixed numbers into improper fractions and then perform the division.

To convert 2 1/4 into an improper fraction, we multiply the whole number part (2) by the denominator (4) and then add the numerator (1):

2 × 4 = 8 8 + 1 = 9

So, 2 1/4 as an improper fraction is:

9/4

To convert 1 5/8 into an improper fraction, we multiply the whole number part (1) by the denominator (8) and then add the numerator (5):

1 × 8 = 8 8 + 5 = 13

So, 1 5/8 as an improper fraction is:

13/8

Now that we have converted both mixed numbers into improper fractions, we can divide them:

9/4 ÷ 13/8

To divide fractions, we invert the second fraction (i.e., flip the numerator and denominator) and then multiply:

9/4 × 8/13

Multiply the Numerators and Denominators

9 × 8 = 72 4 × 13 = 52

So, the result of the division is:

72/52

We can simplify the fraction 72/52 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4:

72 ÷ 4 = 18 52 ÷ 4 = 13

Therefore, the final result of dividing 2 1/4 by 1 5/8 as a fraction is:

18/13