Determine the Multiplication of Mixed Numbers 11/6 and 41/7 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Multiplication of Mixed Numbers 11/6 and 41/7

The given mixed numbers are 11/6 and 41/7

Converting 11/6 mix number to fraction

Given Mixed Number is 1 1/6

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 1 and the fractional part is 1/6.

On adding them, they can be written as:

1/1 + 1/6

The L.C.M of the denominators 1 and 6 is 6.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 6.

1 x 6 + 1/6

6 + 1/6

After multiplying, the numerators 6 and 1 should be added.

7/6

The fraction value we get is 7/6.

After converting the Mixed Number 1 1/6 to the Improper Fraction,the result is 7/6.

Converting 41/7 mix number to fraction

Given Mixed Number is 4 1/7

A Mixed Number is an addition of it's whole number and fractional parts.

The Whole Number is 4 and the fractional part is 1/7.

On adding them, they can be written as:

4/1 + 1/7

The L.C.M of the denominators 1 and 7 is 7.

The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 7.

4 x 7 + 1/7

28 + 1/7

After multiplying, the numerators 28 and 1 should be added.

29/7

The fraction value we get is 29/7.

After converting the Mixed Number 4 1/7 to the Improper Fraction,the result is 29/7.

Multiplying fractions 7/6 and 29/7

The given fractions are 7/6 and 29/7

Firstly the numerators 7 and 29 are multiplied and

Then the denominators 6 and 7 are multiplied

= 7 x 29/6 x 7

= 203/42

29/6

The Fraction Value we get,

Result: 29/6

In order to get the Mixed Number,we need to divide 29 ÷ 6 to get the Quotient and Remainder

29 divided by 6 using long division

The given Divisor = 6 and Dividend = 29

4
629
24
5

The Quotient is 4 and the Remainder is 5

We get the Quotient = 4 and Remainder = 5

∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator

Result: 4 5/6