What is 1/3 minus 13/18 in fraction?
1/3 minus 13/18 equals to -7/18 in fraction form.
Learn how to find what is 1/3 minus 13/18 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 13/18 as a fraction and decimal.
Summary: 1/3 minus 13/18
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 13/18 having identical denominators before starting adding the fractions. Find the LCM of denominators, 18 is the LCM of 3 and 18. Multiply the LCM 18 with all the numerators and denominators of both fractions (1/3 x 18/18) - (13/18 x 18/18) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -7/18.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 13/18 from 1/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/3 minus 13/18.
1. LCM method
2. Cross multiplication method.
1/3-13/18 using LCM Method:
What is 1/3 minus 13/18 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 13/18
What to be found?
1/3-13/18 = ?
Find what's the difference between 1/3 and 13/18.
step 2 Compare the denominators of fractions 1/3 and 13/18 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 13/18 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 1/3 and 13/18:
The LCM of 3 and 18 is 18.
step 4 Write the fractions 1/3 and 13/18 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3-13/18
=(1 x 18)/(3 x 18)-(13 x 18)/(18 x 18)
step 5 Simplify the expression to have common denominator:
=6/18-13/18
step 6 Take the common values out and rewrite the above expression like the below:
=1/18 x (6/1-13/1)
=1/18 x (6 - 13)
step 7Simplify the above expression further:
=1/18 x -7
=-7/18
1/3-13/18=-7/18
Hence,
1/3 minus 13/18 equals to -7/18 in fraction.
1/3-13/18 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 13/18
What to be found?
1/3-13/18 = ?
Find what's the difference between 1/3 and 13/18.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 18), find the product of numerator of Fraction B and denominator of Fraction A (13 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 18) and rewrite the equation as like the below:
= (1 x 18) - (13 x 3)/(3 x 18)
step 3 Simplify and rewrite the fraction:
= (18 - 39)/54
= -21/54
= -7/18
1/3-13/18 = -7/18
Hence,
1/3 minus 13/18 = -7/18