Determine the Sum of Mixed Numbers 73/4 and 61/2 easily using the Mixed Numbers Calculator and get the step by step process involved.






Elaborate Solution to find Sum of Mixed Numbers 73/4 and 61/2

The given mixed numbers are 73/4 and 61/2

Converting 73/4 mix number to fraction

Given Mixed Number is 7 3/4

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

The Whole Number is 7 and the fractional part is 3/4.

On adding them, they can be written as:

7/1 + 3/4

The L.C.M of the denominators 1 and 4 is 4.

The numerator of the first fraction 7 is multiplied with the denominator of the second fraction 4.

7 x 4 + 3/4

28 + 3/4

After multiplying, the numerators 28 and 3 should be added.

31/4

The fraction value we get is 31/4.

After converting the Mixed Number 7 3/4 to the Improper Fraction,the result is 31/4.

Converting 61/2 mix number to fraction

Given Mixed Number is 6 1/2

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

The Whole Number is 6 and the fractional part is 1/2.

On adding them, they can be written as:

6/1 + 1/2

The L.C.M of the denominators 1 and 2 is 2.

The numerator of the first fraction 6 is multiplied with the denominator of the second fraction 2.

6 x 2 + 1/2

12 + 1/2

After multiplying, the numerators 12 and 1 should be added.

13/2

The fraction value we get is 13/2.

After converting the Mixed Number 6 1/2 to the Improper Fraction,the result is 13/2.

Adding fractions 31/4 and 13/2

The given fractions are 31/4 and 13/2

Firstly the L.C.M should be done for the denominators of the two fractions 31/4 and 13/2

31/4+13/2

The LCM of 4 and 2 (denominators of the fractions) is 4
2 4, 2
2, 1

So the lcm of the given numbers is 2 x 2 x 1 = 4


= 31 x 1 + 13 x 2/4

= 31 + 26/4

= 57/4

Result: 57/4

In order to get the Mixed Number,we need to divide 57 ÷ 4 to get the Quotient and Remainder

57 divided by 4 using long division

The given Divisor = 4 and Dividend = 57

14
457
4
17
16
1

The Quotient is 14 and the Remainder is 1

We get the Quotient = 14 and Remainder = 1

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

Result: 14 1/4