Finding the Multiplication of Mixed Numbers 431/7 and 212/7
Determine the Multiplication of Mixed Numbers 431/7 and 212/7 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Multiplication of Mixed Numbers 431/7 and 212/7
The given mixed numbers are 431/7 and 212/7
Converting 431/7 mix number to fraction
Given Mixed Number is 43 1/7
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 43 and the fractional part is 1/7.
On adding them, they can be written as:
43/1 + 1/7
The L.C.M of the denominators 1 and 7 is 7.
The numerator of the first fraction 43 is multiplied with the denominator of the second fraction 7.
43 x 7 + 1/7
301 + 1/7
After multiplying, the numerators 301 and 1 should be added.
302/7
The fraction value we get is 302/7.
After converting the Mixed Number 43 1/7 to the Improper Fraction,the result is 302/7.
Converting 212/7 mix number to fraction
Given Mixed Number is 21 2/7
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 21 and the fractional part is 2/7.
On adding them, they can be written as:
21/1 + 2/7
The L.C.M of the denominators 1 and 7 is 7.
The numerator of the first fraction 21 is multiplied with the denominator of the second fraction 7.
21 x 7 + 2/7
147 + 2/7
After multiplying, the numerators 147 and 2 should be added.
149/7
The fraction value we get is 149/7.
After converting the Mixed Number 21 2/7 to the Improper Fraction,the result is 149/7.
Multiplying fractions 302/7 and 149/7
The given fractions are 302/7 and 149/7
Firstly the numerators 302 and 149 are multiplied and
Then the denominators 7 and 7 are multiplied
= 302 x 149/7 x 7
= 44998/49
The Fraction Value we get,
Result: 44998/49
In order to get the Mixed Number,we need to divide 44998 ÷ 49 to get the Quotient and Remainder
44998 divided by 49 using long division
The given Divisor = 49 and Dividend = 44998
9 | 1 | 8 | ||||
4 | 9 | 4 | 4 | 9 | 9 | 8 |
4 | 4 | 1 | ||||
8 | 9 | |||||
4 | 9 | |||||
4 | 0 | 8 | ||||
3 | 9 | 2 | ||||
1 | 6 |
The Quotient is 918 and the Remainder is 16
We get the Quotient = 918 and Remainder = 16
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 918 16/49