# 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.

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## 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