5/6 minus 1/9 as a fraction
5/6 - 1/9 as a fraction provides the detailed information about what is 5/6 minus 1/9 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
5/6-1/9 equals to
5/6 - 1/9 = (?)
5/6 - 1/9 = [(5 x 9) - (1 x 6)]/(6 x 9)
= (45 - 6)/54
= 39/54
= (3 x 13)/(3 x 18)
= 13/18
5/6 - 1/9 = 13/18
5/6 minus 1/9 is equal to 13/18
where
5/6 is a fraction as a minuend,
1/9 is a fraction as a subtrahend,
13/18 is the difference between 5/6 and 1/9.
5/6 minus 1/9 as a decimal
5/6 - 1/9 = 13/18
13/18 = 0.7222
5/6-1/9 as a decimal is 0.7222
where
0.7222 is the difference between 5/6 and 1/9.
How-to: 5/6 - 1/9 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 5/6 minus 1/9 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 1/9
What to be found?
5/6-1/9 = ?
Find what's the difference between 5/6 and 1/9.
step 2 Compare the denominators of fractions 5/6 and 1/9 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 5/6 and 1/9 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 5/6 and 1/9:
The LCM of 6 and 9 is 18.
step 4 Write the fractions 5/6 and 1/9 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=5/6-1/9
=(5 x 18)/(6 x 18)-(1 x 18)/(9 x 18)
step 5 Simplify the expression to have common denominator:
=15/18-2/18
step 6 Take the common values out and rewrite the above expression like the below:
=1/18 x (15/1-2/1)
=1/18 x (15 - 2)
step 7Simplify the above expression further:
=1/18 x 13
=13/18
5/6-1/9=13/18
Hence,
5/6 minus 1/9 equals to 13/18 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 5/6
Fraction B: 1/9
What to be found?
5/6-1/9 = ?
Find what's the difference between 5/6 and 1/9.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (5 x 9), find the product of numerator of Fraction B and denominator of Fraction A (1 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 9) and rewrite the equation as like the below:
= (5 x 9) - (1 x 6)/(6 x 9)
step 3 Simplify and rewrite the fraction:
= (45 - 6)/54
= 39/54
= 13/18
5/6-1/9 = 13/18
Hence,
5/6 minus 1/9 = 13/18
