# Converting Mixed Number 3 30/74 to Decimal

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## Detailed Solution to Convert Mixed Number 3 30/74 to Decimal

Solution by Separating the Parts

330/74 = 3 + 30/74

We know that

30/74

is the same as

30 ÷ 74

Therefore:

330/74 = 3 + (30 ÷ 74)

Divide the numerator 30 by the denominator 74

The given Divisor = 74 and Dividend = 30

 0. 4 0 5 4 7 4 3 0. 0 0 0 0 0 3 0 0 2 9 6 4 0 0 0 4 0 0 3 7 0 3 0 0 2 9 6 4

Quotient = 0.4054

= 3 + 0.405 = 3.405

Solution by Converting to Improper Fraction

Given Mixed Number is 3 30/74

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

The Whole Number is 3 and the fractional part is 30/74.

On adding them, they can be written as:

3/1 + 30/74

The L.C.M of the denominators 1 and 74 is 74.

The numerator of the first fraction 3 is multiplied with the denominator of the second fraction 74.

3 x 74 + 30/74

222 + 30/74

After multiplying, the numerators 222 and 30 should be added.

252/74

The fraction value we get is 252/74.

On simplifying the fraction,we get:

126/37

After converting the Mixed Number 3 30/74 to the Improper Fraction,the result is 126/37.

= 126/37

We know that

126/37

is the same as

126 ÷ 37

Divide the numerator 126 by the denominator 37

The given Divisor = 74 and Dividend = 30

 0. 4 0 5 4 7 4 3 0. 0 0 0 0 0 3 0 0 2 9 6 4 0 0 0 4 0 0 3 7 0 3 0 0 2 9 6 4

Quotient = 0.4054

and rounding to a Max of 3 Decimal Places gives us

= 3.405