What is 7 - 11/2 in fraction?
7 - 11/2 equals to 3/2 in fraction form.
Learn how to find what is 7 minus 11/2 in fraction form just in a few minutes. We have covered the easiest method to write 7 - 11/2 as a fraction and decimal.
Summary: 7 minus 11/2 = 3/2
Since both fractions have unequal denominators, 7 minus 11/2 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7 and fraction 11/2 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 2. 2 is the LCM of 1 and 2. Multiplying the LCM 2 with the numerators and denominators of both fractions (7 x 2/2) - (11/2 x 2/2), and simplify further in order to have the common denominator. So the equivalent fraction for 7 is 14/2 and for 11/2 is 11/2. By simplifying this fraction subtraction 14/2 - 11/2, it becomes 3/2.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 11/2 from 7. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 7 minus 11/2.
1. LCM method
2. Cross multiplication method.
(7) - (11/2) using LCM Method:
What is 7 minus 11/2 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/1
Fraction B: 11/2
What to be found?
(7) - (11/2) = ?
Find what's the difference between 7 and 11/2.
step 2 Compare the denominators of fractions 7 and 11/2 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7 and 11/2 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 and 11/2:
The LCM of 1 and 2 is 2.
step 4 Write the fractions 7 and 11/2 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7 - 11/2
= [(7 x 2)/(1 x 2)] - [(11 x 2)/(2 x 2)]
step 5 Simplify the expression to have common denominator:
= 14/2 - 11/2
step 6 Take the common values out and rewrite the above expression like the below:
= 1/2 x (14/1 - 11/1)
= 1/2 x (14 - 11)
step 7Simplify the above expression further:
= 1/2 x 3
= 3/2
7 - 11/2 = 3/2
Hence,
7 minus 11/2 as a fraction is 3/2.
7 - 11/2 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/1
Fraction B: 11/2
What to be found?
(7)-(11/2) = ?
Find what's the difference between 7 and 11/2.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 2), find the product of numerator of Fraction B and denominator of Fraction A (11 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 2) and rewrite the equation as like the below:
= (7 x 2) - (11 x 1)/(1 x 2)
step 3 Simplify and rewrite the fraction:
= (14 - 11)/2
7 - 11/2 = 3/2
Hence,
7 minus 11/2 in fraction is 3/2