Determine the Multiplication of Mixed Numbers 802/6 and 222/6 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Multiplication of Mixed Numbers 802/6 and 222/6

The given mixed numbers are 802/6 and 222/6

Converting 802/6 mix number to fraction

Given Mixed Number is 80 2/6

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

The Whole Number is 80 and the fractional part is 2/6.

On adding them, they can be written as:

80/1 + 2/6

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

The numerator of the first fraction 80 is multiplied with the denominator of the second fraction 6.

80 x 6 + 2/6

480 + 2/6

After multiplying, the numerators 480 and 2 should be added.

482/6

The fraction value we get is 482/6.

On simplifying the fraction,we get:

241/3

After converting the Mixed Number 80 2/6 to the Improper Fraction,the result is 241/3.

Converting 222/6 mix number to fraction

Given Mixed Number is 22 2/6

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

The Whole Number is 22 and the fractional part is 2/6.

On adding them, they can be written as:

22/1 + 2/6

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

The numerator of the first fraction 22 is multiplied with the denominator of the second fraction 6.

22 x 6 + 2/6

132 + 2/6

After multiplying, the numerators 132 and 2 should be added.

134/6

The fraction value we get is 134/6.

On simplifying the fraction,we get:

67/3

After converting the Mixed Number 22 2/6 to the Improper Fraction,the result is 67/3.

Multiplying fractions 241/3 and 67/3

The given fractions are 241/3 and 67/3

Firstly the numerators 241 and 67 are multiplied and

Then the denominators 3 and 3 are multiplied

= 241 x 67/3 x 3

= 16147/9

The Fraction Value we get,

Result: 16147/9

In order to get the Mixed Number,we need to divide 16147 ÷ 9 to get the Quotient and Remainder

16147 divided by 9 using long division

The given Divisor = 9 and Dividend = 16147

1794
916147
9
71
63
84
81
37
36
1

The Quotient is 1794 and the Remainder is 1

We get the Quotient = 1794 and Remainder = 1

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

Result: 1794 1/9