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Finding the Multiplication of Mixed Numbers 753/9 and 304/9

Determine the Multiplication of Mixed Numbers 753/9 and 304/9 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Multiplication of Mixed Numbers 753/9 and 304/9

The given mixed numbers are 753/9 and 304/9

Converting 753/9 mix number to fraction

Given Mixed Number is 75 3/9

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

The Whole Number is 75 and the fractional part is 3/9.

On adding them, they can be written as:

75/1 + 3/9

The L.C.M of the denominators 1 and 9 is 9.

The numerator of the first fraction 75 is multiplied with the denominator of the second fraction 9.

75 x 9 + 3/9

675 + 3/9

After multiplying, the numerators 675 and 3 should be added.

678/9

The fraction value we get is 678/9.

On simplifying the fraction,we get:

226/3

After converting the Mixed Number 75 3/9 to the Improper Fraction,the result is 226/3.

Converting 304/9 mix number to fraction

Given Mixed Number is 30 4/9

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

The Whole Number is 30 and the fractional part is 4/9.

On adding them, they can be written as:

30/1 + 4/9

The L.C.M of the denominators 1 and 9 is 9.

The numerator of the first fraction 30 is multiplied with the denominator of the second fraction 9.

30 x 9 + 4/9

270 + 4/9

After multiplying, the numerators 270 and 4 should be added.

274/9

The fraction value we get is 274/9.

After converting the Mixed Number 30 4/9 to the Improper Fraction,the result is 274/9.

Multiplying fractions 226/3 and 274/9

The given fractions are 226/3 and 274/9

Firstly the numerators 226 and 274 are multiplied and

Then the denominators 3 and 9 are multiplied

= 226 x 274/3 x 9

= 61924/27

The Fraction Value we get,

Result: 61924/27

In order to get the Mixed Number,we need to divide 61924 ÷ 27 to get the Quotient and Remainder

61924 divided by 27 using long division

The given Divisor = 27 and Dividend = 61924

2293
2761924
54
79
54
252
243
94
81
13

The Quotient is 2293 and the Remainder is 13

We get the Quotient = 2293 and Remainder = 13

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

Result: 2293 13/27