4/9 minus 5/6 as a fraction
4/9 - 5/6 as a fraction provides the detailed information about what is 4/9 minus 5/6 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
4/9-5/6 equals to
4/9 - 5/6 = (?)
4/9 - 5/6 = [(4 x 6) - (5 x 9)]/(9 x 6)
= (24 - 45)/54
= -21/54
= (3 x -7)/(3 x 18)
= -7/18
4/9 - 5/6 = -7/18
4/9 minus 5/6 is equal to -7/18
where
4/9 is a fraction as a minuend,
5/6 is a fraction as a subtrahend,
-7/18 is the difference between 4/9 and 5/6.
4/9 minus 5/6 as a decimal
4/9 - 5/6 = -7/18
-7/18 = -0.3889
4/9-5/6 as a decimal is -0.3889
where
-0.3889 is the difference between 4/9 and 5/6.
How-to: 4/9 - 5/6 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 4/9 minus 5/6 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 5/6
What to be found?
4/9-5/6 = ?
Find what's the difference between 4/9 and 5/6.
step 2 Compare the denominators of fractions 4/9 and 5/6 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 4/9 and 5/6 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 4/9 and 5/6:
The LCM of 9 and 6 is 18.
step 4 Write the fractions 4/9 and 5/6 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=4/9-5/6
=(4 x 18)/(9 x 18)-(5 x 18)/(6 x 18)
step 5 Simplify the expression to have common denominator:
=8/18-15/18
step 6 Take the common values out and rewrite the above expression like the below:
=1/18 x (8/1-15/1)
=1/18 x (8 - 15)
step 7Simplify the above expression further:
=1/18 x -7
=-7/18
4/9-5/6=-7/18
Hence,
4/9 minus 5/6 equals to -7/18 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/9
Fraction B: 5/6
What to be found?
4/9-5/6 = ?
Find what's the difference between 4/9 and 5/6.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 6), 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 6) and rewrite the equation as like the below:
= (4 x 6) - (5 x 9)/(9 x 6)
step 3 Simplify and rewrite the fraction:
= (24 - 45)/54
= -21/54
= -7/18
4/9-5/6 = -7/18
Hence,
4/9 minus 5/6 = -7/18
