What is 1/2 minus 10/17 in fraction?
1/2 minus 10/17 equals to -3/34 in fraction form.
1/2 - 10/17 in fraction form
Learn how to find what is 1/2 minus 10/17 in fraction form just in a few minutes. We have covered the easiest method to write 1/2 - 10/17 as a fraction and decimal.
Summary: 1/2 minus 10/17
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 1/2 and 10/17 having identical denominators before starting adding the fractions. Find the LCM of denominators, 34 is the LCM of 2 and 17. Multiply the LCM 34 with all the numerators and denominators of both fractions (1/2 x 34/34) - (10/17 x 34/34) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes -3/34.
1/2-10/17 as a fraction
1/2 - 10/17 = (?)
1/2 - 10/17 = [(1 x 17) - (10 x 2)]/(2 x 17)
= (17 - 20)/34
= -3/34
1/2 - 10/17 = -3/34
1/2 minus 10/17 as a fraction is -3/34.
where
1/2 is a fraction as a minuend,
10/17 is a fraction as a subtrahend,
-3/34 is the difference between 1/2 and 10/17.
1/2 minus 10/17 as a decimal
1/2 - 10/17 = -3/34
-3/34 = -0.0882
1/2-10/17 as a decimal is -0.0882
where
-0.0882 is the difference between 1/2 and 10/17.
How to find 1/2-10/17 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 10/17 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 10/17.
1. LCM method
2. Cross multiplication method.
1/2-10/17 using LCM Method:
What is 1/2 minus 10/17 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 10/17
What to be found?
1/2-10/17 = ?
Find what's the difference between 1/2 and 10/17.
step 2 Compare the denominators of fractions 1/2 and 10/17 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 1/2 and 10/17 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 10/17:
The LCM of 2 and 17 is 34.
step 4 Write the fractions 1/2 and 10/17 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=1/2-10/17
=(1 x 34)/(2 x 34)-(10 x 34)/(17 x 34)
step 5 Simplify the expression to have common denominator:
=17/34-20/34
step 6 Take the common values out and rewrite the above expression like the below:
=1/34 x (17/1-20/1)
=1/34 x (17 - 20)
step 7Simplify the above expression further:
=1/34 x -3
=-3/34
1/2-10/17=-3/34
Hence,
1/2 minus 10/17 equals to -3/34 in fraction.
1/2-10/17 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 1/2
Fraction B: 10/17
What to be found?
1/2-10/17 = ?
Find what's the difference between 1/2 and 10/17.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (1 x 17), find the product of numerator of Fraction B and denominator of Fraction A (10 x 2), and find the product of both denominators of Fraction A and Fraction B (2 x 17) and rewrite the equation as like the below:
= (1 x 17) - (10 x 2)/(2 x 17)
step 3 Simplify and rewrite the fraction:
= (17 - 20)/34
1/2-10/17 = -3/34
Hence,
1/2 minus 10/17 = -3/34