170/130 as a Decimal and Mixed Number

170/130 as a decimal and mixed number expansion provides the detailed information about what is 170/130 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

170/130 as a Decimal
170/130 = 1.3077
Hence,
170/130 as a decimal equals to 1.3077
where,
170/130 is a given fraction,
The decimal expansion of 170/130 is 1.3077

170/130 as a Mixed Number
170/130 = (130 + 40)/130
= 130/130 + 40/130
= 1 + 40/130
= 1 40/130
170/130 = 1 40/130

Hence,
170/130 as a mixed number is 1 ⁴⁰/₁₃₀
where,
170/130 is a given fraction,
1 ⁴⁰/₁₃₀ is the mixed number representation of 170/130.

The below work with steps provide the detailed information about how to convert fraction 170/130 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 170/130

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 170/130.

step 2 The numerator is greater than the denominator of the fraction 170/130, so write the given fraction in the expression form in terms of denominator as like the below:
= 170/130
= 130 + 40/130

step 3 Make the above expression as individual fractions:
= 130/130 + 40/130

step 4 Simplify the above expression:
= 1 x 130/130 + 40/130
= 1 + 40/130
= 1 + 4 x 10/13 x 10
= 1 + 4/13
1 + 4/13 can be written as a mixed number 1 ⁴/₁₃.


step 5 Find the decimal equivalent for the fractional part 4/13 in the above expression:
= 1 + 0.3077
= 1.3077
170/130 = 1.3077

Hence,
170/130 as a decimal is 1.3077
170/130 as a mixed number is 1 ⁴/₁₃