What is 3/6 minus 5/4 in fraction?
3/6 minus 5/4 equals to -3/4 in fraction form.
Learn how to find what is 3/6 minus 5/4 in fraction form just in a few minutes. We have covered the easiest method to write 3/6 - 5/4 as a fraction and decimal.
Summary: 3/6 minus 5/4
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/6 and 5/4 having identical denominators before starting adding the fractions. Find the LCM of denominators, 12 is the LCM of 6 and 4. Multiply the LCM 12 with all the numerators and denominators of both fractions (3/6 x 12/12) - (5/4 x 12/12) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -9/12.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/4 from 3/6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/6 minus 5/4.
1. LCM method
2. Cross multiplication method.
3/6-5/4 using LCM Method:
What is 3/6 minus 5/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/6
Fraction B: 5/4
What to be found?
3/6-5/4 = ?
Find what's the difference between 3/6 and 5/4.
step 2 Compare the denominators of fractions 3/6 and 5/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/6 and 5/4 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 3/6 and 5/4:
The LCM of 6 and 4 is 12.
step 4 Write the fractions 3/6 and 5/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/6-5/4
=(3 x 12)/(6 x 12)-(5 x 12)/(4 x 12)
step 5 Simplify the expression to have common denominator:
=6/12-15/12
step 6 Take the common values out and rewrite the above expression like the below:
=1/12 x (6/1-15/1)
=1/12 x (6 - 15)
step 7Simplify the above expression further:
=1/12 x -9
= -9/12
=-3/4
3/6-5/4=-3/4
Hence,
3/6 minus 5/4 equals to -3/4 in fraction.
3/6-5/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/6
Fraction B: 5/4
What to be found?
3/6-5/4 = ?
Find what's the difference between 3/6 and 5/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 4), find the product of numerator of Fraction B and denominator of Fraction A (5 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 4) and rewrite the equation as like the below:
= (3 x 4) - (5 x 6)/(6 x 4)
step 3 Simplify and rewrite the fraction:
= (12 - 30)/24
= -18/24
= -3/4
3/6-5/4 = -3/4
Hence,
3/6 minus 5/4 = -3/4