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