Finding the Multiplication of Mixed Numbers 751/94 and 446/96
Determine the Multiplication of Mixed Numbers 751/94 and 446/96 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Multiplication of Mixed Numbers 751/94 and 446/96
The given mixed numbers are 751/94 and 446/96
Converting 751/94 mix number to fraction
Given Mixed Number is 7 51/94
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 7 and the fractional part is 51/94.
On adding them, they can be written as:
7/1 + 51/94
The L.C.M of the denominators 1 and 94 is 94.
The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 94.
7 x 94 + 51/94
658 + 51/94
After multiplying, the numerators 658 and 51 should be added.
709/94
The fraction value we get is 709/94.
After converting the Mixed Number 7 51/94 to the Improper Fraction,the result is 709/94.
Converting 446/96 mix number to fraction
Given Mixed Number is 4 46/96
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 4 and the fractional part is 46/96.
On adding them, they can be written as:
4/1 + 46/96
The L.C.M of the denominators 1 and 96 is 96.
The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 96.
4 x 96 + 46/96
384 + 46/96
After multiplying, the numerators 384 and 46 should be added.
430/96
The fraction value we get is 430/96.
On simplifying the fraction,we get:
215/48
After converting the Mixed Number 4 46/96 to the Improper Fraction,the result is 215/48.
Multiplying fractions 709/94 and 215/48
The given fractions are 709/94 and 215/48
Firstly the numerators 709 and 215 are multiplied and
Then the denominators 94 and 48 are multiplied
= 709 x 215/94 x 48
= 152435/4512
The Fraction Value we get,
Result: 152435/4512
In order to get the Mixed Number,we need to divide 152435 ÷ 4512 to get the Quotient and Remainder
152435 divided by 4512 using long division
The given Divisor = 4512 and Dividend = 152435
| 3 | 3 | ||||||||
| 4 | 5 | 1 | 2 | 1 | 5 | 2 | 4 | 3 | 5 |
| 1 | 3 | 5 | 3 | 6 | |||||
| 1 | 7 | 0 | 7 | 5 | |||||
| 1 | 3 | 5 | 3 | 6 | |||||
| 3 | 5 | 3 | 9 |
The Quotient is 33 and the Remainder is 3539
We get the Quotient = 33 and Remainder = 3539
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 33 3539/4512