What is 1/3 minus 1/10 in fraction?
1/3 minus 1/10 equals to 7/30 in fraction form.
Learn how to find what is 1/3 minus 1/10 in fraction form just in a few minutes. We have covered the easiest method to write 1/3 - 1/10 as a fraction and decimal.
Summary: 1/3 minus 1/10
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/3 and 1/10 having identical denominators before starting adding the fractions. Find the LCM of denominators, 30 is the LCM of 3 and 10. Multiply the LCM 30 with all the numerators and denominators of both fractions (1/3 x 30/30) - (1/10 x 30/30) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 7/30.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/10 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 1/10.
1. LCM method
2. Cross multiplication method.
1/3-1/10 using LCM Method:
What is 1/3 minus 1/10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 1/10
What to be found?
1/3-1/10 = ?
Find what's the difference between 1/3 and 1/10.
step 2 Compare the denominators of fractions 1/3 and 1/10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/3 and 1/10 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 1/3 and 1/10:
The LCM of 3 and 10 is 30.
step 4 Write the fractions 1/3 and 1/10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/3-1/10
=(1 x 30)/(3 x 30)-(1 x 30)/(10 x 30)
step 5 Simplify the expression to have common denominator:
=10/30-3/30
step 6 Take the common values out and rewrite the above expression like the below:
=1/30 x (10/1-3/1)
=1/30 x (10 - 3)
step 7Simplify the above expression further:
=1/30 x 7
=7/30
1/3-1/10=7/30
Hence,
1/3 minus 1/10 equals to 7/30 in fraction.
1/3-1/10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/3
Fraction B: 1/10
What to be found?
1/3-1/10 = ?
Find what's the difference between 1/3 and 1/10.
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 (1 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 10) and rewrite the equation as like the below:
= (1 x 10) - (1 x 3)/(3 x 10)
step 3 Simplify and rewrite the fraction:
= (10 - 3)/30
1/3-1/10 = 7/30
Hence,
1/3 minus 1/10 = 7/30