Determine the Division of Mixed Numbers 65/7 and 14/7 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Division of Mixed Numbers 65/7 and 14/7

The given mixed numbers are 65/7 and 14/7

Converting 65/7 mix number to fraction

Given Mixed Number is 6 5/7

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

The Whole Number is 6 and the fractional part is 5/7.

On adding them, they can be written as:

6/1 + 5/7

The L.C.M of the denominators 1 and 7 is 7.

The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 7.

6 x 7 + 5/7

42 + 5/7

After multiplying, the numerators 42 and 5 should be added.

47/7

The fraction value we get is 47/7.

After converting the Mixed Number 6 5/7 to the Improper Fraction,the result is 47/7.

Converting 14/7 mix number to fraction

Given Mixed Number is 1 4/7

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

The Whole Number is 1 and the fractional part is 4/7.

On adding them, they can be written as:

1/1 + 4/7

The L.C.M of the denominators 1 and 7 is 7.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 7.

1 x 7 + 4/7

7 + 4/7

After multiplying, the numerators 7 and 4 should be added.

11/7

The fraction value we get is 11/7.

After converting the Mixed Number 1 4/7 to the Improper Fraction,the result is 11/7.

Dividing fractions 47/7 and 11/7

The given fractions are 47/7 and 11/7

On dividing the both fractions,47/7 ÷ 11/7

Then the denominator of the first fraction i.e., 7 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., 7 will comes to the numerator of the first fraction and gets multiplied:

47/7 ÷ 11/7 = 47 x 7/7 x 11

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

329/77

Result: 47/11

In order to get the Mixed Number,we need to divide 47 ÷ 11 to get the Quotient and Remainder

47 divided by 11 using long division

The given Divisor = 11 and Dividend = 47

4
1147
44
3

The Quotient is 4 and the Remainder is 3

We get the Quotient = 4 and Remainder = 3

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

Result: 4 3/11