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Converting Mixed Number 29 1/8 to Decimal

To know What is 29 1/8 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 29 1/8 to Decimal

Solution by Separating the Parts

291/8 = 29 + 1/8

We know that

1/8

is the same as

1 ÷ 8

Therefore:

291/8 = 29 + (1 ÷ 8)

Divide the numerator 1 by the denominator 8

The given Divisor = 8 and Dividend = 1

0.1250
81.000
0
10
08
20
16
40
40
0
0
0

Quotient = 0.1250

= 29 + 0.125 = 29.125

Solution by Converting to Improper Fraction

Given Mixed Number is 29 1/8

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

The Whole Number is 29 and the fractional part is 1/8.

On adding them, they can be written as:

29/1 + 1/8

The L.C.M of the denominators 1 and 8 is 8.

The numerator of the first fraction 29 is multiplied with the denominator of the second fraction 8.

29 x 8 + 1/8

232 + 1/8

After multiplying, the numerators 232 and 1 should be added.

233/8

The fraction value we get is 233/8.

After converting the Mixed Number 29 1/8 to the Improper Fraction,the result is 233/8.

= 233/8

We know that

233/8

is the same as

233 ÷ 8

Divide the numerator 233 by the denominator 8

The given Divisor = 8 and Dividend = 1

0.1250
81.000
0
10
08
20
16
40
40
0
0
0

Quotient = 0.1250

and rounding to a Max of 3 Decimal Places gives us

= 29.125