175/120 as a Decimal and Mixed Number

175/120 as a decimal and mixed number expansion provides the detailed information about what is 175/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

175/120 as a Decimal
175/120 = 1.4583
Hence,
175/120 as a decimal equals to 1.4583
where,
175/120 is a given fraction,
The decimal expansion of 175/120 is 1.4583

175/120 as a Mixed Number
175/120 = (120 + 55)/120
= 120/120 + 55/120
= 1 + 55/120
= 1 55/120
175/120 = 1 55/120

Hence,
175/120 as a mixed number is 1 ⁵⁵/₁₂₀
where,
175/120 is a given fraction,
1 ⁵⁵/₁₂₀ is the mixed number representation of 175/120.

The below work with steps provide the detailed information about how to convert fraction 175/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 175/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 175/120.

step 2 The numerator is greater than the denominator of the fraction 175/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 175/120
= 120 + 55/120

step 3 Make the above expression as individual fractions:
= 120/120 + 55/120

step 4 Simplify the above expression:
= 1 x 120/120 + 55/120
= 1 + 55/120
= 1 + 11 x 5/24 x 5
= 1 + 11/24
1 + 11/24 can be written as a mixed number 1 ¹¹/₂₄.


step 5 Find the decimal equivalent for the fractional part 11/24 in the above expression:
= 1 + 0.4583
= 1.4583
175/120 = 1.4583

Hence,
175/120 as a decimal is 1.4583
175/120 as a mixed number is 1 ¹¹/₂₄