What is 3/4 minus 5/6 in fraction?
3/4 minus 5/6 equals to -1/12 in fraction form.
Learn how to find what is 3/4 minus 5/6 in fraction form just in a few minutes. We have covered the easiest method to write 3/4 - 5/6 as a fraction and decimal.
Summary: 3/4 minus 5/6
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/4 and 5/6 having identical denominators before starting adding the fractions. Find the LCM of denominators, 12 is the LCM of 4 and 6. Multiply the LCM 12 with all the numerators and denominators of both fractions (3/4 x 12/12) - (5/6 x 12/12) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -1/12.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/6 from 3/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/4 minus 5/6.
1. LCM method
2. Cross multiplication method.
3/4-5/6 using LCM Method:
What is 3/4 minus 5/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 5/6
What to be found?
3/4-5/6 = ?
Find what's the difference between 3/4 and 5/6.
step 2 Compare the denominators of fractions 3/4 and 5/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/4 and 5/6 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 3/4 and 5/6:
The LCM of 4 and 6 is 12.
step 4 Write the fractions 3/4 and 5/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/4-5/6
=(3 x 12)/(4 x 12)-(5 x 12)/(6 x 12)
step 5 Simplify the expression to have common denominator:
=9/12-10/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (9/1-10/1)
=1/12 x (9 - 10)
step 7Simplify the above expression further:
=1/12 x -1
=-1/12
3/4-5/6=-1/12
Hence,
3/4 minus 5/6 equals to -1/12 in fraction.
3/4-5/6 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/4
Fraction B: 5/6
What to be found?
3/4-5/6 = ?
Find what's the difference between 3/4 and 5/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 6), find the product of numerator of Fraction B and denominator of Fraction A (5 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 6) and rewrite the equation as like the below:
= (3 x 6) - (5 x 4)/(4 x 6)
step 3 Simplify and rewrite the fraction:
= (18 - 20)/24
= -2/24
= -1/12
3/4-5/6 = -1/12
Hence,
3/4 minus 5/6 = -1/12