5/4 Divided by 1 1/12 as a Fraction
When dividing fractions, it's essential to follow the correct steps to get the correct result. In this article, we'll explore how to divide 5/4 by 1 1/12 as a fraction.
Step 1: Convert the Mixed Number to an Improper Fraction
First, we need to convert the mixed number 1 1/12 to an improper fraction. To do this, we'll multiply the whole number part (1) by the denominator (12) and then add the numerator (1):
1 × 12 + 1 = 13
So, the mixed number 1 1/12 is equal to the improper fraction 13/12.
Step 2: Divide the Fractions
Now, we can divide 5/4 by 13/12:
(5/4) ÷ (13/12)
To divide fractions, we'll invert the second fraction (i.e., flip the numerator and denominator) and then multiply:
(5/4) × (12/13)
Step 3: Multiply the Fractions
Now, we'll multiply the numerators and denominators separately:
(5 × 12) / (4 × 13) = 60/52
Step 4: Simplify the Fraction
Finally, we can simplify the fraction 60/52 by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4:
60 ÷ 4 = 15 52 ÷ 4 = 13
So, the final result is:
15/13
There you have it! 5/4 divided by 1 1/12 as a fraction is equal to 15/13.
