# Converting Mixed Number 4 35/84 to Decimal

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## Detailed Solution to Convert Mixed Number 4 35/84 to Decimal

Solution by Separating the Parts

435/84 = 4 + 35/84

We know that

35/84

is the same as

35 ÷ 84

Therefore:

435/84 = 4 + (35 ÷ 84)

Divide the numerator 35 by the denominator 84

The given Divisor = 84 and Dividend = 35

 0. 4 1 6 6 8 4 3 5. 0 0 0 0 0 3 5 0 3 3 6 1 4 0 0 8 4 5 6 0 5 0 4 5 6 0 5 0 4 5 6

Quotient = 0.4166

= 4 + 0.417 = 4.417

Solution by Converting to Improper Fraction

Given Mixed Number is 4 35/84

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

The Whole Number is 4 and the fractional part is 35/84.

On adding them, they can be written as:

4/1 + 35/84

The L.C.M of the denominators 1 and 84 is 84.

The numerator of the first fraction 4 is multiplied with the denominator of the second fraction 84.

4 x 84 + 35/84

336 + 35/84

After multiplying, the numerators 336 and 35 should be added.

371/84

The fraction value we get is 371/84.

On simplifying the fraction,we get:

53/12

After converting the Mixed Number 4 35/84 to the Improper Fraction,the result is 53/12.

= 53/12

We know that

53/12

is the same as

53 ÷ 12

Divide the numerator 53 by the denominator 12

The given Divisor = 84 and Dividend = 35

 0. 4 1 6 6 8 4 3 5. 0 0 0 0 0 3 5 0 3 3 6 1 4 0 0 8 4 5 6 0 5 0 4 5 6 0 5 0 4 5 6

Quotient = 0.4166

and rounding to a Max of 3 Decimal Places gives us

= 4.417