What is 1/2 minus 9/13 in fraction?
1/2 minus 9/13 equals to -5/26 in fraction form.
1/2 - 9/13 in fraction form
Learn how to find what is 1/2 minus 9/13 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 - 9/13 as a fraction and decimal.
Summary: 1/2 minus 9/13
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 9/13 having identical denominators before starting adding the fractions. Find the LCM of denominators, 26 is the LCM of 2 and 13. Multiply the LCM 26 with all the numerators and denominators of both fractions (1/2 x 26/26) - (9/13 x 26/26) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -5/26.
1/2-9/13 as a fraction
1/2 - 9/13 = (?)
1/2 - 9/13 = [(1 x 13) - (9 x 2)]/(2 x 13)
= (13 - 18)/26
= -5/26
1/2 - 9/13 = -5/26
1/2 minus 9/13 as a fraction is -5/26.
where
1/2 is a fraction as a minuend,
9/13 is a fraction as a subtrahend,
-5/26 is the difference between 1/2 and 9/13.
1/2 minus 9/13 as a decimal
1/2 - 9/13 = -5/26
-5/26 = -0.1923
1/2-9/13 as a decimal is -0.1923
where
-0.1923 is the difference between 1/2 and 9/13.
How to find 1/2-9/13 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 9/13 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 9/13.
1. LCM method
2. Cross multiplication method.
1/2-9/13 using LCM Method:
What is 1/2 minus 9/13 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 9/13
What to be found?
1/2-9/13 = ?
Find what's the difference between 1/2 and 9/13.
step 2 Compare the denominators of fractions 1/2 and 9/13 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/2 and 9/13 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 9/13:
The LCM of 2 and 13 is 26.
step 4 Write the fractions 1/2 and 9/13 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2-9/13
=(1 x 26)/(2 x 26)-(9 x 26)/(13 x 26)
step 5 Simplify the expression to have common denominator:
=13/26-18/26
step 6 Take the common values out and rewrite the above expression like the below:
=1/26 x (13/1-18/1)
=1/26 x (13 - 18)
step 7Simplify the above expression further:
=1/26 x -5
=-5/26
1/2-9/13=-5/26
Hence,
1/2 minus 9/13 equals to -5/26 in fraction.
1/2-9/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 9/13
What to be found?
1/2-9/13 = ?
Find what's the difference between 1/2 and 9/13.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 13), find the product of numerator of Fraction B and denominator of Fraction A (9 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 13) and rewrite the equation as like the below:
= (1 x 13) - (9 x 2)/(2 x 13)
step 3 Simplify and rewrite the fraction:
= (13 - 18)/26
1/2-9/13 = -5/26
Hence,
1/2 minus 9/13 = -5/26