Determine the Multiplication of Mixed Numbers 35/7 and 13/7 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Multiplication of Mixed Numbers 35/7 and 13/7

The given mixed numbers are 35/7 and 13/7

Converting 35/7 mix number to fraction

Given Mixed Number is 3 5/7

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

The Whole Number is 3 and the fractional part is 5/7.

On adding them, they can be written as:

3/1 + 5/7

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

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 7.

3 x 7 + 5/7

21 + 5/7

After multiplying, the numerators 21 and 5 should be added.

26/7

The fraction value we get is 26/7.

After converting the Mixed Number 3 5/7 to the Improper Fraction,the result is 26/7.

Converting 13/7 mix number to fraction

Given Mixed Number is 1 3/7

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

The Whole Number is 1 and the fractional part is 3/7.

On adding them, they can be written as:

1/1 + 3/7

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

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 7.

1 x 7 + 3/7

7 + 3/7

After multiplying, the numerators 7 and 3 should be added.

10/7

The fraction value we get is 10/7.

After converting the Mixed Number 1 3/7 to the Improper Fraction,the result is 10/7.

Multiplying fractions 26/7 and 10/7

The given fractions are 26/7 and 10/7

Firstly the numerators 26 and 10 are multiplied and

Then the denominators 7 and 7 are multiplied

= 26 x 10/7 x 7

= 260/49

The Fraction Value we get,

Result: 260/49

In order to get the Mixed Number,we need to divide 260 ÷ 49 to get the Quotient and Remainder

260 divided by 49 using long division

The given Divisor = 49 and Dividend = 260

5
49260
245
15

The Quotient is 5 and the Remainder is 15

We get the Quotient = 5 and Remainder = 15

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

Result: 5 15/49