What is 7/2 - 11 in fraction?
7/2 - 11 equals to -15/2 in fraction form.
Learn how to find what is 7/2 minus 11 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 - 11 as a fraction and decimal.
Summary: 7/2 minus 11 = -15/2
Since both fractions have unequal denominators, 7/2 minus 11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 1. 2 is the LCM of 2 and 1. Multiplying the LCM 2 with the numerators and denominators of both fractions (7/2 x 2/2) - (11 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 7/2 and for 11 is 22/2. By simplifying this fraction subtraction 7/2 - 22/2, it becomes -15/2.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 11 from 7/2. use any one of the following methods to find the equivalent fraction for 7/2 minus 11.
1. LCM method
2. Cross multiplication method.
(7/2) - (11) using LCM Method:
What is 7/2 minus 11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 11/1
What to be found?
(7/2) - (11) = ?
Find what's the difference between 7/2 and 11.
step 2 Compare the denominators of fractions 7/2 and 11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/2 and 11 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 7/2 and 11:
The LCM of 2 and 1 is 2.
step 4 Write the fractions 7/2 and 11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 - 11
= [(7 x 2)/(2 x 2)] - [(11 x 2)/(1 x 2)]
step 5 Simplify the expression to have common denominator:
= 7/2 - 22/2
step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (7/1 - 22/1)
= 1/2 x (7 - 22)
step 7Simplify the above expression further:
= 1/2 x -15
= -15/2
7/2 - 11 = -15/2
Hence,
7/2 minus 11 as a fraction is -15/2.
7/2 - 11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 11/1
What to be found?
(7/2)-(11) = ?
Find what's the difference between 7/2 and 11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 1), find the product of numerator of Fraction B and denominator of Fraction A (11 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 1) and rewrite the equation as like the below:
= (7 x 1) - (11 x 2)/(2 x 1)
step 3 Simplify and rewrite the fraction:
= (7 - 22)/2
7/2 - 11 = -15/2
Hence,
7/2 minus 11 in fraction is -15/2