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Converting Mixed Number 17 5/7 to Decimal

To know What is 17 5/7 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 17 5/7 to Decimal

Solution by Separating the Parts

175/7 = 17 + 5/7

We know that

5/7

is the same as

5 ÷ 7

Therefore:

175/7 = 17 + (5 ÷ 7)

Divide the numerator 5 by the denominator 7

The given Divisor = 7 and Dividend = 5

0.7142
75.0000
0
50
49
10
07
30
28
20
14
6

Quotient = 0.7142

= 17 + 0.714 = 17.714

Solution by Converting to Improper Fraction

Given Mixed Number is 17 5/7

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

The Whole Number is 17 and the fractional part is 5/7.

On adding them, they can be written as:

17/1 + 5/7

The L.C.M of the denominators 1 and 7 is 7.

The numerator of the first fraction 17 is multiplied with the denominator of the second fraction 7.

17 x 7 + 5/7

119 + 5/7

After multiplying, the numerators 119 and 5 should be added.

124/7

The fraction value we get is 124/7.

After converting the Mixed Number 17 5/7 to the Improper Fraction,the result is 124/7.

= 124/7

We know that

124/7

is the same as

124 ÷ 7

Divide the numerator 124 by the denominator 7

The given Divisor = 7 and Dividend = 5

0.7142
75.0000
0
50
49
10
07
30
28
20
14
6

Quotient = 0.7142

and rounding to a Max of 3 Decimal Places gives us

= 17.714