1 1/2 Divided by 1 1/4 as a Fraction
In this article, we will explore how to divide mixed numbers, specifically calculating 1 1/2 divided by 1 1/4 as a fraction.
Converting Mixed Numbers to Improper Fractions
To divide mixed numbers, we need to convert them into improper fractions first. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Converting 1 1/2
To convert 1 1/2 into an improper fraction, we multiply the whole number part (1) by the denominator (2), then add the numerator (1).
1 × 2 + 1 = 3
So, 1 1/2 is equal to 3/2.
Converting 1 1/4
Similarly, to convert 1 1/4 into an improper fraction, we multiply the whole number part (1) by the denominator (4), then add the numerator (1).
1 × 4 + 1 = 5
So, 1 1/4 is equal to 5/4.
Dividing Improper Fractions
Now that we have converted both mixed numbers into improper fractions, we can proceed with the division.
(3/2) ÷ (5/4) = ?
To divide fractions, we invert the second fraction (i.e., flip the numerator and denominator) and then multiply.
(3/2) × (4/5) = ?
Multiply the numerators and denominators separately:
Numerators: 3 × 4 = 12 Denominators: 2 × 5 = 10
So, the result of the division is:
12/10
Simplifying the Fraction
We can simplify the fraction 12/10 by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2.
12 ÷ 2 = 6 10 ÷ 2 = 5
Therefore, the result of dividing 1 1/2 by 1 1/4 as a fraction is:
6/5
There you have it!
