272/170 as a Decimal and Mixed Number

272/170 as a decimal and mixed number expansion provides the detailed information about what is 272/170 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

272/170 as a Decimal
272/170 = 1.6
Hence,
272/170 as a decimal equals to 1.6
where,
272/170 is a given fraction,
The decimal expansion of 272/170 is 1.6

272/170 as a Mixed Number
272/170 = (170 + 102)/170
= 170/170 + 102/170
= 1 + 102/170
= 1 102/170
272/170 = 1 102/170

Hence,
272/170 as a mixed number is 1 ¹⁰²/₁₇₀
where,
272/170 is a given fraction,
1 ¹⁰²/₁₇₀ is the mixed number representation of 272/170.

The below work with steps provide the detailed information about how to convert fraction 272/170 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 272/170

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 272/170.

step 2 The numerator is greater than the denominator of the fraction 272/170, so write the given fraction in the expression form in terms of denominator as like the below:
= 272/170
= 170 + 102/170

step 3 Make the above expression as individual fractions:
= 170/170 + 102/170

step 4 Simplify the above expression:
= 1 x 170/170 + 102/170
= 1 + 102/170
= 1 + 3 x 34/5 x 34
= 1 + 3/5
1 + 3/5 can be written as a mixed number 1 ³/₅.


step 5 Find the decimal equivalent for the fractional part 3/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 1 + (3/5 x 2/2)
= 1 + 6/10

step 6 Simplify the above expression further:
= 1 + 0.6
= 1.6
272/170 = 1.6

Hence,
272/170 as a decimal is 1.6
272/170 as a mixed number is 1 ³/₅