275/155 as a Decimal and Mixed Number

275/155 as a decimal and mixed number expansion provides the detailed information about what is 275/155 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

275/155 as a Decimal
275/155 = 1.7742
Hence,
275/155 as a decimal equals to 1.7742
where,
275/155 is a given fraction,
The decimal expansion of 275/155 is 1.7742

275/155 as a Mixed Number
275/155 = (155 + 120)/155
= 155/155 + 120/155
= 1 + 120/155
= 1 120/155
275/155 = 1 120/155

Hence,
275/155 as a mixed number is 1 ¹²⁰/₁₅₅
where,
275/155 is a given fraction,
1 ¹²⁰/₁₅₅ is the mixed number representation of 275/155.

The below work with steps provide the detailed information about how to convert fraction 275/155 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 275/155

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 275/155.

step 2 The numerator is greater than the denominator of the fraction 275/155, so write the given fraction in the expression form in terms of denominator as like the below:
= 275/155
= 155 + 120/155

step 3 Make the above expression as individual fractions:
= 155/155 + 120/155

step 4 Simplify the above expression:
= 1 x 155/155 + 120/155
= 1 + 120/155
= 1 + 24 x 5/31 x 5
= 1 + 24/31
1 + 24/31 can be written as a mixed number 1 ²⁴/₃₁.


step 5 Find the decimal equivalent for the fractional part 24/31 in the above expression:
= 1 + 0.7742
= 1.7742
275/155 = 1.7742

Hence,
275/155 as a decimal is 1.7742
275/155 as a mixed number is 1 ²⁴/₃₁