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Finding the Multiplication of Mixed Numbers 518/56 and 318/48

Determine the Multiplication of Mixed Numbers 518/56 and 318/48 easily using the Mixed Numbers Calculator and get the step by step process involved.






 

Elaborate Solution to find Multiplication of Mixed Numbers 518/56 and 318/48

The given mixed numbers are 518/56 and 318/48

Converting 518/56 mix number to fraction

Given Mixed Number is 5 18/56

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

The Whole Number is 5 and the fractional part is 18/56.

On adding them, they can be written as:

5/1 + 18/56

The L.C.M of the denominators 1 and 56 is 56.

The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 56.

5 x 56 + 18/56

280 + 18/56

After multiplying, the numerators 280 and 18 should be added.

298/56

The fraction value we get is 298/56.

On simplifying the fraction,we get:

149/28

After converting the Mixed Number 5 18/56 to the Improper Fraction,the result is 149/28.

Converting 318/48 mix number to fraction

Given Mixed Number is 3 18/48

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

The Whole Number is 3 and the fractional part is 18/48.

On adding them, they can be written as:

3/1 + 18/48

The L.C.M of the denominators 1 and 48 is 48.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 48.

3 x 48 + 18/48

144 + 18/48

After multiplying, the numerators 144 and 18 should be added.

162/48

The fraction value we get is 162/48.

On simplifying the fraction,we get:

27/8

After converting the Mixed Number 3 18/48 to the Improper Fraction,the result is 27/8.

Multiplying fractions 149/28 and 27/8

The given fractions are 149/28 and 27/8

Firstly the numerators 149 and 27 are multiplied and

Then the denominators 28 and 8 are multiplied

= 149 x 27/28 x 8

= 4023/224

The Fraction Value we get,

Result: 4023/224

In order to get the Mixed Number,we need to divide 4023 ÷ 224 to get the Quotient and Remainder

4023 divided by 224 using long division

The given Divisor = 224 and Dividend = 4023

17
2244023
224
1783
1568
215

The Quotient is 17 and the Remainder is 215

We get the Quotient = 17 and Remainder = 215

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

Result: 17 215/224