Determine the Division of Mixed Numbers 811/70 and 719/48 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Division of Mixed Numbers 811/70 and 719/48

The given mixed numbers are 811/70 and 719/48

Converting 811/70 mix number to fraction

Given Mixed Number is 8 11/70

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

The Whole Number is 8 and the fractional part is 11/70.

On adding them, they can be written as:

8/1 + 11/70

The L.C.M of the denominators 1 and 70 is 70.

The numerator of the first fraction 8 is multiplied with the denominator of the second fraction 70.

8 x 70 + 11/70

560 + 11/70

After multiplying, the numerators 560 and 11 should be added.

571/70

The fraction value we get is 571/70.

After converting the Mixed Number 8 11/70 to the Improper Fraction,the result is 571/70.

Converting 719/48 mix number to fraction

Given Mixed Number is 7 19/48

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

The Whole Number is 7 and the fractional part is 19/48.

On adding them, they can be written as:

7/1 + 19/48

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

The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 48.

7 x 48 + 19/48

336 + 19/48

After multiplying, the numerators 336 and 19 should be added.

355/48

The fraction value we get is 355/48.

After converting the Mixed Number 7 19/48 to the Improper Fraction,the result is 355/48.

Dividing fractions 571/70 and 355/48

The given fractions are 571/70 and 355/48

On dividing the both fractions,571/70 ÷ 355/48

Then the denominator of the first fraction i.e., 70 will comes to the numerator of the second fraction and gets multiplied,

And in the same way,the denominator of the second fraction i.e., 48 will comes to the numerator of the first fraction and gets multiplied:

571/70 ÷ 355/48 = 571 x 48/70 x 355

On Multiplying the denominators and the numerators,the fraction value we get,

27408/24850

Result: 13704/12425

In order to get the Mixed Number,we need to divide 13704 ÷ 12425 to get the Quotient and Remainder

13704 divided by 12425 using long division

The given Divisor = 12425 and Dividend = 13704

1
1242513704
12425
1279

The Quotient is 1 and the Remainder is 1279

We get the Quotient = 1 and Remainder = 1279

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

Result: 1 1279/12425