Finding the Division of Mixed Numbers 65/7 and 14/7
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 | |||
1 | 1 | 4 | 7 |
4 | 4 | ||
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