# Converting Mixed Number 1 60/90 to Decimal

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## Detailed Solution to Convert Mixed Number 1 60/90 to Decimal

Solution by Separating the Parts

160/90 = 1 + 60/90

We know that

60/90

is the same as

60 ÷ 90

Therefore:

160/90 = 1 + (60 ÷ 90)

Divide the numerator 60 by the denominator 90

The given Divisor = 90 and Dividend = 60

 0. 6 6 6 6 9 0 6 0. 0 0 0 0 0 6 0 0 5 4 0 6 0 0 5 4 0 6 0 0 5 4 0 6 0 0 5 4 0 6 0

Quotient = 0.6666

= 1 + 0.667 = 1.667

Solution by Converting to Improper Fraction

Given Mixed Number is 1 60/90

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

The Whole Number is 1 and the fractional part is 60/90.

On adding them, they can be written as:

1/1 + 60/90

The L.C.M of the denominators 1 and 90 is 90.

The numerator of the first fraction 1 is multiplied with the denominator of the second fraction 90.

1 x 90 + 60/90

90 + 60/90

After multiplying, the numerators 90 and 60 should be added.

150/90

The fraction value we get is 150/90.

On simplifying the fraction,we get:

5/3

After converting the Mixed Number 1 60/90 to the Improper Fraction,the result is 5/3.

= 5/3

We know that

5/3

is the same as

5 ÷ 3

Divide the numerator 5 by the denominator 3

The given Divisor = 90 and Dividend = 60

 0. 6 6 6 6 9 0 6 0. 0 0 0 0 0 6 0 0 5 4 0 6 0 0 5 4 0 6 0 0 5 4 0 6 0 0 5 4 0 6 0

Quotient = 0.6666

and rounding to a Max of 3 Decimal Places gives us

= 1.667