What is 2/9 - 17/7 in fraction?
2/9 - 17/7 equals to -139/63 in fraction form.
Learn how to find what is 2/9 minus 17/7 in fraction form just in a few minutes. We have covered the easiest method to write 2/9 - 17/7 as a fraction and decimal.
Summary: 2/9 minus 17/7 = -139/63
Since both fractions have unequal denominators, 2/9 minus 17/7 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 2/9 and fraction 17/7 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 (2/9 x 63/63) - (17/7 x 63/63), and simplify further in order to have the common denominator. So the equivalent fraction for 2/9 is 14/63 and for 17/7 is 153/63. By simplifying this fraction subtraction 14/63 - 153/63, it becomes -139/63.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/7 from 2/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 2/9 minus 17/7.
1. LCM method
2. Cross multiplication method.
(2/9) - (17/7) using LCM Method:
What is 2/9 minus 17/7 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 17/7
What to be found?
(2/9) - (17/7) = ?
Find what's the difference between 2/9 and 17/7.
step 2 Compare the denominators of fractions 2/9 and 17/7 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 2/9 and 17/7 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 2/9 and 17/7:
The LCM of 9 and 7 is 63.
step 4 Write the fractions 2/9 and 17/7 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 2/9 - 17/7
= [(2 x 63)/(9 x 63)] - [(17 x 63)/(7 x 63)]
step 5 Simplify the expression to have common denominator:
= 14/63 - 153/63
step 6 Take the common values out and rewrite the above expression like the below:
= 1/63 x (14/1 - 153/1)
= 1/63 x (14 - 153)
step 7Simplify the above expression further:
= 1/63 x -139
= -139/63
2/9 - 17/7 = -139/63
Hence,
2/9 minus 17/7 as a fraction is -139/63.
2/9 - 17/7 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 2/9
Fraction B: 17/7
What to be found?
(2/9)-(17/7) = ?
Find what's the difference between 2/9 and 17/7.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (2 x 7), find the product of numerator of Fraction B and denominator of Fraction A (17 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:
= (2 x 7) - (17 x 9)/(9 x 7)
step 3 Simplify and rewrite the fraction:
= (14 - 153)/63
2/9 - 17/7 = -139/63
Hence,
2/9 minus 17/7 in fraction is -139/63