16/7 - 2/9 as a fraction

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

Summary: 16/7 minus 2/9 = 130/63
Since both fractions have unequal denominators, 16/7 minus 2/9 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 16/7 and fraction 2/9 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 9. 63 is the LCM of 7 and 9. Multiplying the LCM 63 with the numerators and denominators of both fractions (16/7 x 63/63) - (2/9 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 16/7 is 144/63 and for 2/9 is 14/63. By simplifying this fraction subtraction 144/63 - 14/63, it becomes 130/63.

CALCULATION: 16/7 - 2/9 as a fraction
16/7 - 2/9 = (?)
16/7 - 2/9 = [(16 x 9) - (2 x 7)]/(7 x 9)
= (144 - 14)/63
= 130/63
16/7 - 2/9 = 130/63
16/7 minus 2/9 as a fraction is 130/63.

where
16/7 is a improper fraction as a minuend,
2/9 is a proper fraction as a subtrahend,
130/63 is the difference between 16/7 and 2/9.

---

16/7 minus 2/9 as a decimal
16/7 - 2/9 = 130/63
130/63 = 2.0635
(16/7) - (2/9) as a decimal is 2.0635

where
2.0635 is the difference between 16/7 and 2/9.

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

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

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

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

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

step 4 Write the fractions 16/7 and 2/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 16/7 - 2/9
= [(16 x 63)/(7 x 63)] - [(2 x 63)/(9 x 63)]

step 5 Simplify the expression to have common denominator:
= 144/63 - 14/63

step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (144/1 - 14/1)
= 1/63 x (144 - 14)

step 7Simplify the above expression further:
= 1/63 x 130
= 130/63
16/7 - 2/9 = 130/63

Hence,
16/7 minus 2/9 as a fraction is 130/63.

---

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

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

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

step 3 Simplify and rewrite the fraction:
= (144 - 14)/63
16/7 - 2/9 = 130/63

Hence,
16/7 minus 2/9 in fraction is 130/63