What is 3/9 minus 5/14 in fraction?
3/9 minus 5/14 equals to -1/42 in fraction form.
Learn how to find what is 3/9 minus 5/14 in fraction form just in a few minutes. We have covered the easiest method to write 3/9 - 5/14 as a fraction and decimal.
Summary: 3/9 minus 5/14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 3/9 and 5/14 having identical denominators before starting adding the fractions. Find the LCM of denominators, 126 is the LCM of 9 and 14. Multiply the LCM 126 with all the numerators and denominators of both fractions (3/9 x 126/126) - (5/14 x 126/126) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -3/126.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 5/14 from 3/9. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 3/9 minus 5/14.
1. LCM method
2. Cross multiplication method.
3/9-5/14 using LCM Method:
What is 3/9 minus 5/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/9
Fraction B: 5/14
What to be found?
3/9-5/14 = ?
Find what's the difference between 3/9 and 5/14.
step 2 Compare the denominators of fractions 3/9 and 5/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 3/9 and 5/14 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 3/9 and 5/14:
The LCM of 9 and 14 is 126.
step 4 Write the fractions 3/9 and 5/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=3/9-5/14
=(3 x 126)/(9 x 126)-(5 x 126)/(14 x 126)
step 5 Simplify the expression to have common denominator:
=42/126-45/126
step 6 Take the common values out and rewrite the above expression like the below:
=1/126 x (42/1-45/1)
=1/126 x (42 - 45)
step 7Simplify the above expression further:
=1/126 x -3
= -3/126
=-1/42
3/9-5/14=-1/42
Hence,
3/9 minus 5/14 equals to -1/42 in fraction.
3/9-5/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 3/9
Fraction B: 5/14
What to be found?
3/9-5/14 = ?
Find what's the difference between 3/9 and 5/14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (3 x 14), find the product of numerator of Fraction B and denominator of Fraction A (5 x 9), and find the product of both denominators of Fraction A and Fraction B (9 x 14) and rewrite the equation as like the below:
= (3 x 14) - (5 x 9)/(9 x 14)
step 3 Simplify and rewrite the fraction:
= (42 - 45)/126
= -3/126
= -1/42
3/9-5/14 = -1/42
Hence,
3/9 minus 5/14 = -1/42