What is 5 - 12/11 in fraction?
5 - 12/11 equals to 43/11 in fraction form.
Learn how to find what is 5 minus 12/11 in fraction form just in a few minutes. We have covered the easiest method to write 5 - 12/11 as a fraction and decimal.
Summary: 5 minus 12/11 = 43/11
Since both fractions have unequal denominators, 5 minus 12/11 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 5 and fraction 12/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 11. 11 is the LCM of 1 and 11. Multiplying the LCM 11 with the numerators and denominators of both fractions (5 x 11/11) - (12/11 x 11/11), and simplify further in order to have the common denominator. So the equivalent fraction for 5 is 55/11 and for 12/11 is 12/11. By simplifying this fraction subtraction 55/11 - 12/11, it becomes 43/11.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 12/11 from 5. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 5 minus 12/11.
1. LCM method
2. Cross multiplication method.
(5) - (12/11) using LCM Method:
What is 5 minus 12/11 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/1
Fraction B: 12/11
What to be found?
(5) - (12/11) = ?
Find what's the difference between 5 and 12/11.
step 2 Compare the denominators of fractions 5 and 12/11 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5 and 12/11 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 5 and 12/11:
The LCM of 1 and 11 is 11.
step 4 Write the fractions 5 and 12/11 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 5 - 12/11
= [(5 x 11)/(1 x 11)] - [(12 x 11)/(11 x 11)]
step 5 Simplify the expression to have common denominator:
= 55/11 - 12/11
step 6 Take the common values out and rewrite the above expression like the below:
= 1/11 x (55/1 - 12/1)
= 1/11 x (55 - 12)
step 7Simplify the above expression further:
= 1/11 x 43
= 43/11
5 - 12/11 = 43/11
Hence,
5 minus 12/11 as a fraction is 43/11.
5 - 12/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/1
Fraction B: 12/11
What to be found?
(5)-(12/11) = ?
Find what's the difference between 5 and 12/11.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 11), find the product of numerator of Fraction B and denominator of Fraction A (12 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 11) and rewrite the equation as like the below:
= (5 x 11) - (12 x 1)/(1 x 11)
step 3 Simplify and rewrite the fraction:
= (55 - 12)/11
5 - 12/11 = 43/11
Hence,
5 minus 12/11 in fraction is 43/11