What is 2/8 minus 5/4 in fraction?
2/8 minus 5/4 equals to -1 in fraction form.
Learn how to find what is 2/8 minus 5/4 in fraction form just in a few minutes. We have covered the easiest method to write 2/8 - 5/4 as a fraction and decimal.
Summary: 2/8 minus 5/4
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 2/8 and 5/4 having identical denominators before starting adding the fractions. Find the LCM of denominators, 8 is the LCM of 8 and 4. Multiply the LCM 8 with all the numerators and denominators of both fractions (2/8 x 8/8) - (5/4 x 8/8) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -8/8.
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 2/8. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/8 minus 5/4.
1. LCM method
2. Cross multiplication method.
2/8-5/4 using LCM Method:
What is 2/8 minus 5/4 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 5/4
What to be found?
2/8-5/4 = ?
Find what's the difference between 2/8 and 5/4.
step 2 Compare the denominators of fractions 2/8 and 5/4 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/8 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 2/8 and 5/4:
The LCM of 8 and 4 is 8.
step 4 Write the fractions 2/8 and 5/4 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=2/8-5/4
=(2 x 8)/(8 x 8)-(5 x 8)/(4 x 8)
step 5 Simplify the expression to have common denominator:
=2/8-10/8
step 6 Take the common values out and rewrite the above expression like the below:
=1/8 x (2/1-10/1)
=1/8 x (2 - 10)
step 7Simplify the above expression further:
=1/8 x -8
= -8/8
=-1
2/8-5/4=-1
Hence,
2/8 minus 5/4 equals to -1 in fraction.
2/8-5/4 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/8
Fraction B: 5/4
What to be found?
2/8-5/4 = ?
Find what's the difference between 2/8 and 5/4.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 4), find the product of numerator of Fraction B and denominator of Fraction A (5 x 8), and find the product of both denominators of Fraction A and Fraction B (8 x 4) and rewrite the equation as like the below:
= (2 x 4) - (5 x 8)/(8 x 4)
step 3 Simplify and rewrite the fraction:
= (8 - 40)/32
= -32/32
= -1
2/8-5/4 = -1
Hence,
2/8 minus 5/4 = -1