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Converting Mixed Number 9 2/6 to Decimal

To know What is 9 2/6 in Decimal easily make use of the handy Mixed Numbers to Decimals Calculator and get instant results.

Ex: 2(5/10) (or) 4(6/22) (or) 5(7/15)


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Detailed Solution to Convert Mixed Number 9 2/6 to Decimal

Solution by Separating the Parts

92/6 = 9 + 2/6

We know that

2/6

is the same as

2 ÷ 6

Therefore:

92/6 = 9 + (2 ÷ 6)

Divide the numerator 2 by the denominator 6

The given Divisor = 6 and Dividend = 2

0.3333
62.0000
0
20
18
20
18
20
18
20
18
2

Quotient = 0.3333

= 9 + 0.333 = 9.333

Solution by Converting to Improper Fraction

Given Mixed Number is 9 2/6

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

The Whole Number is 9 and the fractional part is 2/6.

On adding them, they can be written as:

9/1 + 2/6

The L.C.M of the denominators 1 and 6 is 6.

The numerator of the first fraction 9 is multiplied with the denominator of the second fraction 6.

9 x 6 + 2/6

54 + 2/6

After multiplying, the numerators 54 and 2 should be added.

56/6

The fraction value we get is 56/6.

On simplifying the fraction,we get:

28/3

After converting the Mixed Number 9 2/6 to the Improper Fraction,the result is 28/3.

= 28/3

We know that

28/3

is the same as

28 ÷ 3

Divide the numerator 28 by the denominator 3

The given Divisor = 6 and Dividend = 2

0.3333
62.0000
0
20
18
20
18
20
18
20
18
2

Quotient = 0.3333

and rounding to a Max of 3 Decimal Places gives us

= 9.333