What is 1/2 minus 13/10 in fraction?
1/2 minus 13/10 equals to -4/5 in fraction form.
1/2 - 13/10 in fraction form
Learn how to find what is 1/2 minus 13/10 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 - 13/10 as a fraction and decimal.
Summary: 1/2 minus 13/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 13/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 10 is the LCM of 2 and 10. Multiply the LCM 10 with all the numerators and denominators of both fractions (1/2 x 10/10) - (13/10 x 10/10) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -8/10.
1/2-13/10 as a fraction
1/2 - 13/10 = (?)
1/2 - 13/10 = [(1 x 10) - (13 x 2)]/(2 x 10)
= (10 - 26)/20
= -16/20
= (4 x -4)/(4 x 5)
= -4/5
1/2 - 13/10 = -4/5
1/2 minus 13/10 as a fraction is -4/5.
where
1/2 is a fraction as a minuend,
13/10 is a fraction as a subtrahend,
-4/5 is the difference between 1/2 and 13/10.
1/2 minus 13/10 as a decimal
1/2 - 13/10 = -4/5
-4/5 = -0.8
1/2-13/10 as a decimal is -0.8
where
-0.8 is the difference between 1/2 and 13/10.
How to find 1/2-13/10 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 13/10 from 1/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/2 minus 13/10.
1. LCM method
2. Cross multiplication method.
1/2-13/10 using LCM Method:
What is 1/2 minus 13/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 13/10
What to be found?
1/2-13/10 = ?
Find what's the difference between 1/2 and 13/10.
step 2 Compare the denominators of fractions 1/2 and 13/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/2 and 13/10 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 1/2 and 13/10:
The LCM of 2 and 10 is 10.
step 4 Write the fractions 1/2 and 13/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2-13/10
=(1 x 10)/(2 x 10)-(13 x 10)/(10 x 10)
step 5 Simplify the expression to have common denominator:
=5/10-13/10
step 6 Take the common values out and rewrite the above expression like the below:
=1/10 x (5/1-13/1)
=1/10 x (5 - 13)
step 7Simplify the above expression further:
=1/10 x -8
= -8/10
=-4/5
1/2-13/10=-4/5
Hence,
1/2 minus 13/10 equals to -4/5 in fraction.
1/2-13/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 13/10
What to be found?
1/2-13/10 = ?
Find what's the difference between 1/2 and 13/10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 10), find the product of numerator of Fraction B and denominator of Fraction A (13 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 10) and rewrite the equation as like the below:
= (1 x 10) - (13 x 2)/(2 x 10)
step 3 Simplify and rewrite the fraction:
= (10 - 26)/20
= -16/20
= -4/5
1/2-13/10 = -4/5
Hence,
1/2 minus 13/10 = -4/5