Finding the Division of Mixed Numbers 703/6 and 142/5
Determine the Division of Mixed Numbers 703/6 and 142/5 easily using the Mixed Numbers Calculator and get the step by step process involved.
Elaborate Solution to find Division of Mixed Numbers 703/6 and 142/5
The given mixed numbers are 703/6 and 142/5
Converting 703/6 mix number to fraction
Given Mixed Number is 70 3/6
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 70 and the fractional part is 3/6.
On adding them, they can be written as:
70/1 + 3/6
The L.C.M of the denominators 1 and 6 is 6.
The numerator of the first fraction 70 is multiplied with the denominator of the second fraction 6.
70 x 6 + 3/6
420 + 3/6
After multiplying, the numerators 420 and 3 should be added.
423/6
The fraction value we get is 423/6.
On simplifying the fraction,we get:
141/2
After converting the Mixed Number 70 3/6 to the Improper Fraction,the result is 141/2.
Converting 142/5 mix number to fraction
Given Mixed Number is 14 2/5
A Mixed Number is an addition of it's whole number and fractional parts.
The Whole Number is 14 and the fractional part is 2/5.
On adding them, they can be written as:
14/1 + 2/5
The L.C.M of the denominators 1 and 5 is 5.
The numerator of the first fraction 14 is multiplied with the denominator of the second fraction 5.
14 x 5 + 2/5
70 + 2/5
After multiplying, the numerators 70 and 2 should be added.
72/5
The fraction value we get is 72/5.
After converting the Mixed Number 14 2/5 to the Improper Fraction,the result is 72/5.
Dividing fractions 141/2 and 72/5
The given fractions are 141/2 and 72/5
On dividing the both fractions,141/2 ÷ 72/5
Then the denominator of the first fraction i.e., 2 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:
141/2 ÷ 72/5 = 141 x 5/2 x 72
On Multiplying the denominators and the numerators,the fraction value we get,
705/144
Result: 235/48
In order to get the Mixed Number,we need to divide 235 ÷ 48 to get the Quotient and Remainder
235 divided by 48 using long division
The given Divisor = 48 and Dividend = 235
| 4 | ||||
| 4 | 8 | 2 | 3 | 5 |
| 1 | 9 | 2 | ||
| 4 | 3 |
The Quotient is 4 and the Remainder is 43
We get the Quotient = 4 and Remainder = 43
∵ The Mixed-Fraction can be written as QuotientRemainder/Denominator
Result: 4 43/48