What is 2/7 - 10 in fraction?
2/7 - 10 equals to -68/7 in fraction form.
Learn how to find what is 2/7 minus 10 in fraction form just in a few minutes. We have covered the easiest method to write 2/7 - 10 as a fraction and decimal.
Summary: 2/7 minus 10 = -68/7
Since both fractions have unequal denominators, 2/7 minus 10 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/7 and fraction 10 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 1. 7 is the LCM of 7 and 1. Multiplying the LCM 7 with the numerators and denominators of both fractions (2/7 x 7/7) - (10 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 2/7 is 2/7 and for 10 is 70/7. By simplifying this fraction subtraction 2/7 - 70/7, it becomes -68/7.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 10 from 2/7. use any one of the following methods to find the equivalent fraction for 2/7 minus 10.
1. LCM method
2. Cross multiplication method.
(2/7) - (10) using LCM Method:
What is 2/7 minus 10 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 10/1
What to be found?
(2/7) - (10) = ?
Find what's the difference between 2/7 and 10.
step 2 Compare the denominators of fractions 2/7 and 10 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/7 and 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 2/7 and 10:
The LCM of 7 and 1 is 7.
step 4 Write the fractions 2/7 and 10 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/7 - 10
= [(2 x 7)/(7 x 7)] - [(10 x 7)/(1 x 7)]
step 5 Simplify the expression to have common denominator:
= 2/7 - 70/7
step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (2/1 - 70/1)
= 1/7 x (2 - 70)
step 7Simplify the above expression further:
= 1/7 x -68
= -68/7
2/7 - 10 = -68/7
Hence,
2/7 minus 10 as a fraction is -68/7.
2/7 - 10 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/7
Fraction B: 10/1
What to be found?
(2/7)-(10) = ?
Find what's the difference between 2/7 and 10.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 1), find the product of numerator of Fraction B and denominator of Fraction A (10 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (2 x 1) - (10 x 7)/(7 x 1)
step 3 Simplify and rewrite the fraction:
= (2 - 70)/7
2/7 - 10 = -68/7
Hence,
2/7 minus 10 in fraction is -68/7