Finding the Division of Mixed Numbers 53/9 and 32/5
Determine the Division of Mixed Numbers 53/9 and 32/5 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Division of Mixed Numbers 53/9 and 32/5
The given mixed numbers are 53/9 and 32/5
Converting 53/9 mix number to fraction
Given Mixed Number is 5 3/9
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 5 and the fractional part is 3/9.
On adding them, they can be written as:
5/1 + 3/9
The L.C.M of the denominators 1 and 9 is 9.
The numerator of the first fraction 5 is multiplied with the denominator of the second fraction 9.
5 x 9 + 3/9
45 + 3/9
After multiplying, the numerators 45 and 3 should be added.
48/9
The fraction value we get is 48/9.
On simplifying the fraction,we get:
16/3
After converting the Mixed Number 5 3/9 to the Improper Fraction,the result is 16/3.
Converting 32/5 mix number to fraction
Given Mixed Number is 3 2/5
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 3 and the fractional part is 2/5.
On adding them, they can be written as:
3/1 + 2/5
The L.C.M of the denominators 1 and 5 is 5.
The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 5.
3 x 5 + 2/5
15 + 2/5
After multiplying, the numerators 15 and 2 should be added.
17/5
The fraction value we get is 17/5.
After converting the Mixed Number 3 2/5 to the Improper Fraction,the result is 17/5.
Dividing fractions 16/3 and 17/5
The given fractions are 16/3 and 17/5
On dividing the both fractions,16/3 ÷ 17/5
Then the denominator of the first fraction i.e., 3 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., 5 will comes to the numerator of the first fraction and gets multiplied:
16/3 ÷ 17/5 = 16 x 5/3 x 17
On Multiplying the denominators and the numerators,the fraction value we get,
80/51
Result: 80/51
In order to get the Mixed Number,we need to divide 80 ÷ 51 to get the Quotient and Remainder
80 divided by 51 using long division
The given Divisor = 51 and Dividend = 80
| 1 | |||
| 5 | 1 | 8 | 0 |
| 5 | 1 | ||
| 2 | 9 |
The Quotient is 1 and the Remainder is 29
We get the Quotient = 1 and Remainder = 29
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 1 29/51