177/118 as a Decimal and Mixed Number

177/118 as a decimal and mixed number expansion provides the detailed information about what is 177/118 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

177/118 as a Decimal
177/118 = 1.5
Hence,
177/118 as a decimal equals to 1.5
where,
177/118 is a given fraction,
The decimal expansion of 177/118 is 1.5

177/118 as a Mixed Number
177/118 = (118 + 59)/118
= 118/118 + 59/118
= 1 + 59/118
= 1 59/118
177/118 = 1 59/118

Hence,
177/118 as a mixed number is 1 ⁵⁹/₁₁₈
where,
177/118 is a given fraction,
1 ⁵⁹/₁₁₈ is the mixed number representation of 177/118.

The below work with steps provide the detailed information about how to convert fraction 177/118 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 177/118

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 177/118.

step 2 The numerator is greater than the denominator of the fraction 177/118, so write the given fraction in the expression form in terms of denominator as like the below:
= 177/118
= 118 + 59/118

step 3 Make the above expression as individual fractions:
= 118/118 + 59/118

step 4 Simplify the above expression:
= 1 x 118/118 + 59/118
= 1 + 59/118
= 1 + 1 x 59/2 x 59
= 1 + 1/2
1 + 1/2 can be written as a mixed number 1 ¹/₂.


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

step 6 Simplify the above expression further:
= 1 + 0.5
= 1.5
177/118 = 1.5

Hence,
177/118 as a decimal is 1.5
177/118 as a mixed number is 1 ¹/₂