Determine the Division of Mixed Numbers 821/8 and 621/8 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Division of Mixed Numbers 821/8 and 621/8

The given mixed numbers are 821/8 and 621/8

Converting 821/8 mix number to fraction

Given Mixed Number is 82 1/8

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

The Whole Number is 82 and the fractional part is 1/8.

On adding them, they can be written as:

82/1 + 1/8

The L.C.M of the denominators 1 and 8 is 8.

The numerator of the first fraction 82 is multiplied with the denominator of the second fraction 8.

82 x 8 + 1/8

656 + 1/8

After multiplying, the numerators 656 and 1 should be added.

657/8

The fraction value we get is 657/8.

After converting the Mixed Number 82 1/8 to the Improper Fraction,the result is 657/8.

Converting 621/8 mix number to fraction

Given Mixed Number is 62 1/8

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

The Whole Number is 62 and the fractional part is 1/8.

On adding them, they can be written as:

62/1 + 1/8

The L.C.M of the denominators 1 and 8 is 8.

The numerator of the first fraction 62 is multiplied with the denominator of the second fraction 8.

62 x 8 + 1/8

496 + 1/8

After multiplying, the numerators 496 and 1 should be added.

497/8

The fraction value we get is 497/8.

After converting the Mixed Number 62 1/8 to the Improper Fraction,the result is 497/8.

Dividing fractions 657/8 and 497/8

The given fractions are 657/8 and 497/8

On dividing the both fractions,657/8 ÷ 497/8

Then the denominator of the first fraction i.e., 8 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., 8 will comes to the numerator of the first fraction and gets multiplied:

657/8 ÷ 497/8 = 657 x 8/8 x 497

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

5256/3976

Result: 657/497

In order to get the Mixed Number,we need to divide 657 ÷ 497 to get the Quotient and Remainder

657 divided by 497 using long division

The given Divisor = 497 and Dividend = 657

1
497657
497
160

The Quotient is 1 and the Remainder is 160

We get the Quotient = 1 and Remainder = 160

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

Result: 1 160/497