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Finding the Multiplication of Mixed Numbers 14/54 and 71/69

Determine the Multiplication of Mixed Numbers 14/54 and 71/69 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Multiplication of Mixed Numbers 14/54 and 71/69

The given mixed numbers are 14/54 and 71/69

Converting 14/54 mix number to fraction

Given Mixed Number is 1 4/54

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

The Whole Number is 1 and the fractional part is 4/54.

On adding them, they can be written as:

1/1 + 4/54

The L.C.M of the denominators 1 and 54 is 54.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 54.

1 x 54 + 4/54

54 + 4/54

After multiplying, the numerators 54 and 4 should be added.

58/54

The fraction value we get is 58/54.

On simplifying the fraction,we get:

29/27

After converting the Mixed Number 1 4/54 to the Improper Fraction,the result is 29/27.

Converting 71/69 mix number to fraction

Given Mixed Number is 7 1/69

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

The Whole Number is 7 and the fractional part is 1/69.

On adding them, they can be written as:

7/1 + 1/69

The L.C.M of the denominators 1 and 69 is 69.

The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 69.

7 x 69 + 1/69

483 + 1/69

After multiplying, the numerators 483 and 1 should be added.

484/69

The fraction value we get is 484/69.

After converting the Mixed Number 7 1/69 to the Improper Fraction,the result is 484/69.

Multiplying fractions 29/27 and 484/69

The given fractions are 29/27 and 484/69

Firstly the numerators 29 and 484 are multiplied and

Then the denominators 27 and 69 are multiplied

= 29 x 484/27 x 69

= 14036/1863

The Fraction Value we get,

Result: 14036/1863

In order to get the Mixed Number,we need to divide 14036 ÷ 1863 to get the Quotient and Remainder

14036 divided by 1863 using long division

The given Divisor = 1863 and Dividend = 14036

7
186314036
13041
995

The Quotient is 7 and the Remainder is 995

We get the Quotient = 7 and Remainder = 995

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

Result: 7 995/1863