What is 15 - 2/7 in fraction?
15 - 2/7 equals to 103/7 in fraction form.
Learn how to find what is 15 minus 2/7 in fraction form just in a few minutes. We have covered the easiest method to write 15 - 2/7 as a fraction and decimal.
Summary: 15 minus 2/7 = 103/7
Since both fractions have unequal denominators, 15 minus 2/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 15 and fraction 2/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 7. 7 is the LCM of 1 and 7. Multiplying the LCM 7 with the numerators and denominators of both fractions (15 x 7/7) - (2/7 x 7/7), and simplify further in order to have the common denominator. So the equivalent fraction for 15 is 105/7 and for 2/7 is 2/7. By simplifying this fraction subtraction 105/7 - 2/7, it becomes 103/7.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 2/7 from 15. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 15 minus 2/7.
1. LCM method
2. Cross multiplication method.
(15) - (2/7) using LCM Method:
What is 15 minus 2/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/1
Fraction B: 2/7
What to be found?
(15) - (2/7) = ?
Find what's the difference between 15 and 2/7.
step 2 Compare the denominators of fractions 15 and 2/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 15 and 2/7 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 15 and 2/7:
The LCM of 1 and 7 is 7.
step 4 Write the fractions 15 and 2/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 15 - 2/7
= [(15 x 7)/(1 x 7)] - [(2 x 7)/(7 x 7)]
step 5 Simplify the expression to have common denominator:
= 105/7 - 2/7
step 6 Take the common values out and rewrite the above expression like the below:
= 1/7 x (105/1 - 2/1)
= 1/7 x (105 - 2)
step 7Simplify the above expression further:
= 1/7 x 103
= 103/7
15 - 2/7 = 103/7
Hence,
15 minus 2/7 as a fraction is 103/7.
15 - 2/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 15/1
Fraction B: 2/7
What to be found?
(15)-(2/7) = ?
Find what's the difference between 15 and 2/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (15 x 7), find the product of numerator of Fraction B and denominator of Fraction A (2 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 7) and rewrite the equation as like the below:
= (15 x 7) - (2 x 1)/(1 x 7)
step 3 Simplify and rewrite the fraction:
= (105 - 2)/7
15 - 2/7 = 103/7
Hence,
15 minus 2/7 in fraction is 103/7