Finding the Difference of Mixed Numbers 375/7 and 334/6
Determine the Difference of Mixed Numbers 375/7 and 334/6 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Difference of Mixed Numbers 375/7 and 334/6
The given mixed numbers are 375/7 and 334/6
Converting 375/7 mix number to fraction
Given Mixed Number is 37 5/7
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 37 and the fractional part is 5/7.
On adding them, they can be written as:
37/1 + 5/7
The L.C.M of the denominators 1 and 7 is 7.
The numerator of the first fraction 37 is multiplied with the denominator of the second fraction 7.
37 x 7 + 5/7
259 + 5/7
After multiplying, the numerators 259 and 5 should be added.
264/7
The fraction value we get is 264/7.
After converting the Mixed Number 37 5/7 to the Improper Fraction,the result is 264/7.
Converting 334/6 mix number to fraction
Given Mixed Number is 33 4/6
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 33 and the fractional part is 4/6.
On adding them, they can be written as:
33/1 + 4/6
The L.C.M of the denominators 1 and 6 is 6.
The numerator of the first fraction 33 is multiplied with the denominator of the second fraction 6.
33 x 6 + 4/6
198 + 4/6
After multiplying, the numerators 198 and 4 should be added.
202/6
The fraction value we get is 202/6.
On simplifying the fraction,we get:
101/3
After converting the Mixed Number 33 4/6 to the Improper Fraction,the result is 101/3.
Subtracting fractions 264/7 and 101/3
The given fractions are 264/7 and 101/3
Firstly the L.C.M should be done for the denominators of the two fractions 264/7 and 101/3
264/7 - 101/3
The LCM of 7 and 3 (denominators of the fractions) is 21
Given numbers has no common factors except 1. So, there LCM is their product i.e 21
= 264 x 3 - 101 x 7/21
= 792 - 707/21
= 85/21
Result: 85/21
In order to get the Mixed Number,we need to divide 85 ÷ 21 to get the Quotient and Remainder
85 divided by 21 using long division
The given Divisor = 21 and Dividend = 85
| 4 | |||
| 2 | 1 | 8 | 5 |
| 8 | 4 | ||
| 1 |
The Quotient is 4 and the Remainder is 1
We get the Quotient = 4 and Remainder = 1
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 4 1/21