Finding the Multiplication of Mixed Numbers 602/9 and 713/9
Determine the Multiplication of Mixed Numbers 602/9 and 713/9 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Multiplication of Mixed Numbers 602/9 and 713/9
The given mixed numbers are 602/9 and 713/9
Converting 602/9 mix number to fraction
Given Mixed Number is 60 2/9
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 60 and the fractional part is 2/9.
On adding them, they can be written as:
60/1 + 2/9
The L.C.M of the denominators 1 and 9 is 9.
The numerator of the first fraction 60 is multiplied with the denominator of the second fraction 9.
60 x 9 + 2/9
540 + 2/9
After multiplying, the numerators 540 and 2 should be added.
542/9
The fraction value we get is 542/9.
After converting the Mixed Number 60 2/9 to the Improper Fraction,the result is 542/9.
Converting 713/9 mix number to fraction
Given Mixed Number is 71 3/9
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 71 and the fractional part is 3/9.
On adding them, they can be written as:
71/1 + 3/9
The L.C.M of the denominators 1 and 9 is 9.
The numerator of the first fraction 71 is multiplied with the denominator of the second fraction 9.
71 x 9 + 3/9
639 + 3/9
After multiplying, the numerators 639 and 3 should be added.
642/9
The fraction value we get is 642/9.
On simplifying the fraction,we get:
214/3
After converting the Mixed Number 71 3/9 to the Improper Fraction,the result is 214/3.
Multiplying fractions 542/9 and 214/3
The given fractions are 542/9 and 214/3
Firstly the numerators 542 and 214 are multiplied and
Then the denominators 9 and 3 are multiplied
= 542 x 214/9 x 3
= 115988/27
The Fraction Value we get,
Result: 115988/27
In order to get the Mixed Number,we need to divide 115988 ÷ 27 to get the Quotient and Remainder
115988 divided by 27 using long division
The given Divisor = 27 and Dividend = 115988
| 4 | 2 | 9 | 5 | ||||
| 2 | 7 | 1 | 1 | 5 | 9 | 8 | 8 |
| 1 | 0 | 8 | |||||
| 7 | 9 | ||||||
| 5 | 4 | ||||||
| 2 | 5 | 8 | |||||
| 2 | 4 | 3 | |||||
| 1 | 5 | 8 | |||||
| 1 | 3 | 5 | |||||
| 2 | 3 |
The Quotient is 4295 and the Remainder is 23
We get the Quotient = 4295 and Remainder = 23
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 4295 23/27