# Finding the Multiplication of Mixed Numbers 723/6 and 184/6

Determine the Multiplication of Mixed Numbers 723/6 and 184/6 easily using the Mixed Numbers Calculator and get the step by step process involved.

## Elaborate Solution to find Multiplication of Mixed Numbers 723/6 and 184/6

The given mixed numbers are 723/6 and 184/6

Converting 723/6 mix number to fraction

Given Mixed Number is 72 3/6

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

The Whole Number is 72 and the fractional part is 3/6.

On adding them, they can be written as:

72/1 + 3/6

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

The numerator of the first fraction 72 is multiplied with the denominator of the second fraction 6.

72 x 6 + 3/6

432 + 3/6

After multiplying, the numerators 432 and 3 should be added.

435/6

The fraction value we get is 435/6.

On simplifying the fraction,we get:

145/2

After converting the Mixed Number 72 3/6 to the Improper Fraction,the result is 145/2.

Converting 184/6 mix number to fraction

Given Mixed Number is 18 4/6

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

The Whole Number is 18 and the fractional part is 4/6.

On adding them, they can be written as:

18/1 + 4/6

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

The numerator of the first fraction 18 is multiplied with the denominator of the second fraction 6.

18 x 6 + 4/6

108 + 4/6

After multiplying, the numerators 108 and 4 should be added.

112/6

The fraction value we get is 112/6.

On simplifying the fraction,we get:

56/3

After converting the Mixed Number 18 4/6 to the Improper Fraction,the result is 56/3.

Multiplying fractions 145/2 and 56/3

The given fractions are 145/2 and 56/3

Firstly the numerators 145 and 56 are multiplied and

Then the denominators 2 and 3 are multiplied

= 145 x 56/2 x 3

= 8120/6

4060/3

The Fraction Value we get,

Result: 4060/3

In order to get the Mixed Number,we need to divide 4060 ÷ 3 to get the Quotient and Remainder

## 4060 divided by 3 using long division

The given Divisor = 3 and Dividend = 4060

1 | 3 | 5 | 3 | |

3 | 4 | 0 | 6 | 0 |

3 | ||||

1 | 0 | |||

0 | 9 | |||

1 | 6 | |||

1 | 5 | |||

1 | 0 | |||

0 | 9 | |||

1 |

The Quotient is 1353 and the Remainder is 1

We get the Quotient = 1353 and Remainder = 1

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

Result: **1353 1/3**