16/9 - 9/7 as a fraction

Learn how to find what is 16/9 minus 9/7 in fraction form just in a few minutes. We have covered the easiest method to write 16/9 - 9/7 as a fraction and decimal.

Summary: 16/9 minus 9/7 = 31/63
Since both fractions have unequal denominators, 16/9 minus 9/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/9 and fraction 9/7 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 9 and 7. 63 is the LCM of 9 and 7. Multiplying the LCM 63 with the numerators and denominators of both fractions (16/9 x 63/63) - (9/7 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 16/9 is 112/63 and for 9/7 is 81/63. By simplifying this fraction subtraction 112/63 - 81/63, it becomes 31/63.

Pie Chart Representation: 16/9 - 9/7 = 31/63

CALCULATION: 16/9 - 9/7 as a fraction
16/9 - 9/7 = (?)
16/9 - 9/7 = [(16 x 7) - (9 x 9)]/(9 x 7)
= (112 - 81)/63
= 31/63
16/9 - 9/7 = 31/63
16/9 minus 9/7 as a fraction is 31/63.

where
16/9 is a improper fraction as a minuend,
9/7 is a improper fraction as a subtrahend,
31/63 is the difference between 16/9 and 9/7.

---

16/9 minus 9/7 as a decimal
16/9 - 9/7 = 31/63
31/63 = 0.4921
(16/9) - (9/7) as a decimal is 0.4921

where
0.4921 is the difference between 16/9 and 9/7.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 9/7 from 16/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 16/9 minus 9/7.
1. LCM method
2. Cross multiplication method.

(16/9) - (9/7) using LCM Method:
What is 16/9 minus 9/7 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 9/7

What to be found?
(16/9) - (9/7) = ?
Find what's the difference between 16/9 and 9/7.

step 2 Compare the denominators of fractions 16/9 and 9/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 16/9 and 9/7 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 16/9 and 9/7:
The LCM of 9 and 7 is 63.

step 4 Write the fractions 16/9 and 9/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/9 - 9/7
= [(16 x 63)/(9 x 63)] - [(9 x 63)/(7 x 63)]

step 5 Simplify the expression to have common denominator:
= 112/63 - 81/63

step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (112/1 - 81/1)
= 1/63 x (112 - 81)

step 7Simplify the above expression further:
= 1/63 x 31
= 31/63
16/9 - 9/7 = 31/63

Hence,
16/9 minus 9/7 as a fraction is 31/63.

---

16/9 - 9/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 16/9
Fraction B: 9/7

What to be found?
(16/9)-(9/7) = ?
Find what's the difference between 16/9 and 9/7.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (16 x 7), find the product of numerator of Fraction B and denominator of Fraction A (9 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 7) and rewrite the equation as like the below:
= (16 x 7) - (9 x 9)/(9 x 7)

step 3 Simplify and rewrite the fraction:
= (112 - 81)/63
16/9 - 9/7 = 31/63

Hence,
16/9 minus 9/7 in fraction is 31/63