What is 19 1/4 divided by 11/4
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the values:
19 ¼ / 11 /4
Solution:
Since we are given an improper fraction, and a mixed number, we must convert the mixed number into an improper fraction in order to solve the equation easily. To convert a mixed number into improper fraction, multiply the whole number by the denominator and add the product to the numerator. The denominator stays the same/
=19 ¼
= 77 / 4
Now that we have two improper fraction, we can simply divide the values. In dividing two fractions, we take the reciprocal of the denominator and multiply it with the denominator. The reciprocal of 11 / 4 means its inverse which is 4/11.
= 77 / 4 / 11 / 4
= (77/4)(4/11)
= 77/11
= 7
Final answer: 7