175/130 as a Decimal and Mixed Number

175/130 as a decimal and mixed number expansion provides the detailed information about what is 175/130 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

175/130 as a Decimal
175/130 = 1.3462
Hence,
175/130 as a decimal equals to 1.3462
where,
175/130 is a given fraction,
The decimal expansion of 175/130 is 1.3462

175/130 as a Mixed Number
175/130 = (130 + 45)/130
= 130/130 + 45/130
= 1 + 45/130
= 1 45/130
175/130 = 1 45/130

Hence,
175/130 as a mixed number is 1 ⁴⁵/₁₃₀
where,
175/130 is a given fraction,
1 ⁴⁵/₁₃₀ is the mixed number representation of 175/130.

The below work with steps provide the detailed information about how to convert fraction 175/130 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 175/130

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 175/130.

step 2 The numerator is greater than the denominator of the fraction 175/130, so write the given fraction in the expression form in terms of denominator as like the below:
= 175/130
= 130 + 45/130

step 3 Make the above expression as individual fractions:
= 130/130 + 45/130

step 4 Simplify the above expression:
= 1 x 130/130 + 45/130
= 1 + 45/130
= 1 + 9 x 5/26 x 5
= 1 + 9/26
1 + 9/26 can be written as a mixed number 1 ⁹/₂₆.


step 5 Find the decimal equivalent for the fractional part 9/26 in the above expression:
= 1 + 0.3462
= 1.3462
175/130 = 1.3462

Hence,
175/130 as a decimal is 1.3462
175/130 as a mixed number is 1 ⁹/₂₆