9/2 - 1/7 as a fraction

Learn how to find what is 9/2 minus 1/7 in fraction form just in a few minutes. We have covered the easiest method to write 9/2 - 1/7 as a fraction and decimal.

Summary: 9/2 minus 1/7 = 61/14
Since both fractions have unequal denominators, 9/2 minus 1/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 9/2 and fraction 1/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 7. 14 is the LCM of 2 and 7. Multiplying the LCM 14 with the numerators and denominators of both fractions (9/2 x 14/14) - (1/7 x 14/14), and simplify further in order to have the common denominator. So the equivalent fraction for 9/2 is 63/14 and for 1/7 is 2/14. By simplifying this fraction subtraction 63/14 - 2/14, it becomes 61/14.

CALCULATION: 9/2 - 1/7 as a fraction
9/2 - 1/7 = (?)
9/2 - 1/7 = [(9 x 7) - (1 x 2)]/(2 x 7)
= (63 - 2)/14
= 61/14
9/2 - 1/7 = 61/14
9/2 minus 1/7 as a fraction is 61/14.

where
9/2 is a improper fraction as a minuend,
1/7 is a proper fraction as a subtrahend,
61/14 is the difference between 9/2 and 1/7.

---

9/2 minus 1/7 as a decimal
9/2 - 1/7 = 61/14
61/14 = 4.3571
(9/2) - (1/7) as a decimal is 4.3571

where
4.3571 is the difference between 9/2 and 1/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 1/7 from 9/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 9/2 minus 1/7.
1. LCM method
2. Cross multiplication method.

(9/2) - (1/7) using LCM Method:
What is 9/2 minus 1/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 1/7

What to be found?
(9/2) - (1/7) = ?
Find what's the difference between 9/2 and 1/7.

step 2 Compare the denominators of fractions 9/2 and 1/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 9/2 and 1/7 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 9/2 and 1/7:
The LCM of 2 and 7 is 14.

step 4 Write the fractions 9/2 and 1/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 9/2 - 1/7
= [(9 x 14)/(2 x 14)] - [(1 x 14)/(7 x 14)]

step 5 Simplify the expression to have common denominator:
= 63/14 - 2/14

step 6 Take the common values out and rewrite the above expression like the below:
= 1/14 x (63/1 - 2/1)
= 1/14 x (63 - 2)

step 7Simplify the above expression further:
= 1/14 x 61
= 61/14
9/2 - 1/7 = 61/14

Hence,
9/2 minus 1/7 as a fraction is 61/14.

---

9/2 - 1/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 9/2
Fraction B: 1/7

What to be found?
(9/2)-(1/7) = ?
Find what's the difference between 9/2 and 1/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (9 x 7), find the product of numerator of Fraction B and denominator of Fraction A (1 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 7) and rewrite the equation as like the below:
= (9 x 7) - (1 x 2)/(2 x 7)

step 3 Simplify and rewrite the fraction:
= (63 - 2)/14
9/2 - 1/7 = 61/14

Hence,
9/2 minus 1/7 in fraction is 61/14