What is 1/2 minus 17/14 in fraction?
1/2 minus 17/14 equals to -5/7 in fraction form.
1/2 - 17/14 in fraction form
Learn how to find what is 1/2 minus 17/14 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 - 17/14 as a fraction and decimal.
Summary: 1/2 minus 17/14
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 17/14 having identical denominators before starting adding the fractions. Find the LCM of denominators, 14 is the LCM of 2 and 14. Multiply the LCM 14 with all the numerators and denominators of both fractions (1/2 x 14/14) - (17/14 x 14/14) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -10/14.
1/2-17/14 as a fraction
1/2 - 17/14 = (?)
1/2 - 17/14 = [(1 x 14) - (17 x 2)]/(2 x 14)
= (14 - 34)/28
= -20/28
= (4 x -5)/(4 x 7)
= -5/7
1/2 - 17/14 = -5/7
1/2 minus 17/14 as a fraction is -5/7.
where
1/2 is a fraction as a minuend,
17/14 is a fraction as a subtrahend,
-5/7 is the difference between 1/2 and 17/14.
1/2 minus 17/14 as a decimal
1/2 - 17/14 = -5/7
-5/7 = -0.7143
1/2-17/14 as a decimal is -0.7143
where
-0.7143 is the difference between 1/2 and 17/14.
How to find 1/2-17/14 as a fraction?
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 17/14 from 1/2. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 1/2 minus 17/14.
1. LCM method
2. Cross multiplication method.
1/2-17/14 using LCM Method:
What is 1/2 minus 17/14 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 17/14
What to be found?
1/2-17/14 = ?
Find what's the difference between 1/2 and 17/14.
step 2 Compare the denominators of fractions 1/2 and 17/14 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/2 and 17/14 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 1/2 and 17/14:
The LCM of 2 and 14 is 14.
step 4 Write the fractions 1/2 and 17/14 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2-17/14
=(1 x 14)/(2 x 14)-(17 x 14)/(14 x 14)
step 5 Simplify the expression to have common denominator:
=7/14-17/14
step 6 Take the common values out and rewrite the above expression like the below:
=1/14 x (7/1-17/1)
=1/14 x (7 - 17)
step 7Simplify the above expression further:
=1/14 x -10
= -10/14
=-5/7
1/2-17/14=-5/7
Hence,
1/2 minus 17/14 equals to -5/7 in fraction.
1/2-17/14 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 17/14
What to be found?
1/2-17/14 = ?
Find what's the difference between 1/2 and 17/14.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 14), find the product of numerator of Fraction B and denominator of Fraction A (17 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 14) and rewrite the equation as like the below:
= (1 x 14) - (17 x 2)/(2 x 14)
step 3 Simplify and rewrite the fraction:
= (14 - 34)/28
= -20/28
= -5/7
1/2-17/14 = -5/7
Hence,
1/2 minus 17/14 = -5/7