7/2 - 16/9 as a fraction

Learn how to find what is 7/2 minus 16/9 in fraction form just in a few minutes. We have covered the easiest method to write 7/2 - 16/9 as a fraction and decimal.

Summary: 7/2 minus 16/9 = 31/18
Since both fractions have unequal denominators, 7/2 minus 16/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 7/2 and fraction 16/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 2 and 9. 18 is the LCM of 2 and 9. Multiplying the LCM 18 with the numerators and denominators of both fractions (7/2 x 18/18) - (16/9 x 18/18), and simplify further in order to have the common denominator. So the equivalent fraction for 7/2 is 63/18 and for 16/9 is 32/18. By simplifying this fraction subtraction 63/18 - 32/18, it becomes 31/18.

CALCULATION: 7/2 - 16/9 as a fraction
7/2 - 16/9 = (?)
7/2 - 16/9 = [(7 x 9) - (16 x 2)]/(2 x 9)
= (63 - 32)/18
= 31/18
7/2 - 16/9 = 31/18
7/2 minus 16/9 as a fraction is 31/18.

where
7/2 is a improper fraction as a minuend,
16/9 is a improper fraction as a subtrahend,
31/18 is the difference between 7/2 and 16/9.

---

7/2 minus 16/9 as a decimal
7/2 - 16/9 = 31/18
31/18 = 1.7222
(7/2) - (16/9) as a decimal is 1.7222

where
1.7222 is the difference between 7/2 and 16/9.

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

(7/2) - (16/9) using LCM Method:
What is 7/2 minus 16/9 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 16/9

What to be found?
(7/2) - (16/9) = ?
Find what's the difference between 7/2 and 16/9.

step 2 Compare the denominators of fractions 7/2 and 16/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/2 and 16/9 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 7/2 and 16/9:
The LCM of 2 and 9 is 18.

step 4 Write the fractions 7/2 and 16/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 7/2 - 16/9
= [(7 x 18)/(2 x 18)] - [(16 x 18)/(9 x 18)]

step 5 Simplify the expression to have common denominator:
= 63/18 - 32/18

step 6 Take the common values out and rewrite the above expression like the below:
= 1/18 x (63/1 - 32/1)
= 1/18 x (63 - 32)

step 7Simplify the above expression further:
= 1/18 x 31
= 31/18
7/2 - 16/9 = 31/18

Hence,
7/2 minus 16/9 as a fraction is 31/18.

---

7/2 - 16/9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/2
Fraction B: 16/9

What to be found?
(7/2)-(16/9) = ?
Find what's the difference between 7/2 and 16/9.

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

step 3 Simplify and rewrite the fraction:
= (63 - 32)/18
7/2 - 16/9 = 31/18

Hence,
7/2 minus 16/9 in fraction is 31/18