What is 3/7 minus 9 in fraction?
3/7 minus 9 equals to -60/7 in fraction form.
Learn how to find what is 3/7 minus 9 in fraction form just in a few minutes. We have covered the easiest method to write 3/7 - 9 as a fraction and decimal.
Summary: 3/7 minus 9
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/7 and 9 having identical denominators before starting adding the fractions. Find the LCM of denominators, 7 is the LCM of 7 and 1. Multiply the LCM 7 with all the numerators and denominators of both fractions (3/7 x 7/7) - (9 x 7/7) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -60/7.
The below workout with step by step calculation shows how to find the difference between fraction and a whole number by subtracting 9 from 3/7. use any one of the following methods to find the equivalent fraction for 3/7 minus 9.
1. LCM method
2. Cross multiplication method.
3/7-9 using LCM Method:
What is 3/7 minus 9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 9/1
What to be found?
3/7-9 = ?
Find what's the difference between 3/7 and 9.
step 2 Compare the denominators of fractions 3/7 and 9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/7 and 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 3/7 and 9:
The LCM of 7 and 1 is 7.
step 4 Write the fractions 3/7 and 9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/7-9
=(3 x 7)/(7 x 7)-(9 x 7)/(1 x 7)
step 5 Simplify the expression to have common denominator:
=3/7-63/7
step 6 Take the common values out and rewrite the above expression like the below:
=1/7 x (3/1-63/1)
=1/7 x (3 - 63)
step 7Simplify the above expression further:
=1/7 x -60
=-60/7
3/7-9=-60/7
Hence,
3/7 minus 9 equals to -60/7 in fraction.
3/7-9 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/7
Fraction B: 9/1
What to be found?
3/7-9 = ?
Find what's the difference between 3/7 and 9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 1), find the product of numerator of Fraction B and denominator of Fraction A (9 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 1) and rewrite the equation as like the below:
= (3 x 1) - (9 x 7)/(7 x 1)
step 3 Simplify and rewrite the fraction:
= (3 - 63)/7
3/7-9 = -60/7
Hence,
3/7 minus 9 = -60/7