What is 1/4 minus 7/20 in fraction?
1/4 minus 7/20 equals to -1/10 in fraction form.
1/4 - 7/20 in fraction form
Learn how to find what is 1/4 minus 7/20 in fraction form just in a few minutes. We have covered the easiest method to write 1/4 - 7/20 as a fraction and decimal.
Summary: 1/4 minus 7/20
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/4 and 7/20 having identical denominators before starting adding the fractions. Find the LCM of denominators, 20 is the LCM of 4 and 20. Multiply the LCM 20 with all the numerators and denominators of both fractions (1/4 x 20/20) - (7/20 x 20/20) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -2/20.
1/4-7/20 as a fraction
1/4 - 7/20 = (?)
1/4 - 7/20 = [(1 x 20) - (7 x 4)]/(4 x 20)
= (20 - 28)/80
= -8/80
= (8 x -1)/(8 x 10)
= -1/10
1/4 - 7/20 = -1/10
1/4 minus 7/20 as a fraction is -1/10.
where
1/4 is a fraction as a minuend,
7/20 is a fraction as a subtrahend,
-1/10 is the difference between 1/4 and 7/20.
1/4 minus 7/20 as a decimal
1/4 - 7/20 = -1/10
-1/10 = -0.1
1/4-7/20 as a decimal is -0.1
where
-0.1 is the difference between 1/4 and 7/20.
How to find 1/4-7/20 as a fraction?
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 7/20 from 1/4. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/4 minus 7/20.
1. LCM method
2. Cross multiplication method.
1/4-7/20 using LCM Method:
What is 1/4 minus 7/20 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 7/20
What to be found?
1/4-7/20 = ?
Find what's the difference between 1/4 and 7/20.
step 2 Compare the denominators of fractions 1/4 and 7/20 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/4 and 7/20 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 1/4 and 7/20:
The LCM of 4 and 20 is 20.
step 4 Write the fractions 1/4 and 7/20 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/4-7/20
=(1 x 20)/(4 x 20)-(7 x 20)/(20 x 20)
step 5 Simplify the expression to have common denominator:
=5/20-7/20
step 6 Take the common values out and rewrite the above expression like the below:
=1/20 x (5/1-7/1)
=1/20 x (5 - 7)
step 7Simplify the above expression further:
=1/20 x -2
= -2/20
=-1/10
1/4-7/20=-1/10
Hence,
1/4 minus 7/20 equals to -1/10 in fraction.
1/4-7/20 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/4
Fraction B: 7/20
What to be found?
1/4-7/20 = ?
Find what's the difference between 1/4 and 7/20.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 20), find the product of numerator of Fraction B and denominator of Fraction A (7 x 4), and find the product of both denominators of Fraction A and Fraction B (4 x 20) and rewrite the equation as like the below:
= (1 x 20) - (7 x 4)/(4 x 20)
step 3 Simplify and rewrite the fraction:
= (20 - 28)/80
= -8/80
= -1/10
1/4-7/20 = -1/10
Hence,
1/4 minus 7/20 = -1/10