7/6 minus 2/3 as a fraction
7/6 - 2/3 as a fraction provides the detailed information about what is 7/6 minus 2/3 in fraction and decimal form, and the answer with steps to understand how it is being calculated by using different methods.
7/6-2/3 equals to
7/6 - 2/3 = (?)
7/6 - 2/3 = [(7 x 3) - (2 x 6)]/(6 x 3)
= (21 - 12)/18
= 9/18
= (9 x 1)/(9 x 2)
= 1/2
7/6 - 2/3 = 1/2
7/6 minus 2/3 is equal to 1/2
where
7/6 is a fraction as a minuend,
2/3 is a fraction as a subtrahend,
1/2 is the difference between 7/6 and 2/3.
7/6 minus 2/3 as a decimal
7/6 - 2/3 = 1/2
1/2 = 0.5
7/6-2/3 as a decimal is 0.5
where
0.5 is the difference between 7/6 and 2/3.
How-to: 7/6 - 2/3 = ?
1. LCM method,
2. Cross multiplication method.
Problem and Workout - LCM Method:
What is 7/6 minus 2/3 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 2/3
What to be found?
7/6-2/3 = ?
Find what's the difference between 7/6 and 2/3.
step 2 Compare the denominators of fractions 7/6 and 2/3 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 7/6 and 2/3 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 7/6 and 2/3:
The LCM of 6 and 3 is 6.
step 4 Write the fractions 7/6 and 2/3 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=7/6-2/3
=(7 x 6)/(6 x 6)-(2 x 6)/(3 x 6)
step 5 Simplify the expression to have common denominator:
=7/6-4/6
step 6 Take the common values out and rewrite the above expression like the below:
=1/6 x (7/1-4/1)
=1/6 x (7 - 4)
step 7Simplify the above expression further:
=1/6 x 3
= 3/6
=1/2
7/6-2/3=1/2
Hence,
7/6 minus 2/3 equals to 1/2 in fraction.
Problem and Workout - Cross Multiplication Method
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 7/6
Fraction B: 2/3
What to be found?
7/6-2/3 = ?
Find what's the difference between 7/6 and 2/3.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (7 x 3), find the product of numerator of Fraction B and denominator of Fraction A (2 x 6), and find the product of both denominators of Fraction A and Fraction B (6 x 3) and rewrite the equation as like the below:
= (7 x 3) - (2 x 6)/(6 x 3)
step 3 Simplify and rewrite the fraction:
= (21 - 12)/18
= 9/18
= 1/2
7/6-2/3 = 1/2
Hence,
7/6 minus 2/3 = 1/2
