275/175 as a Decimal and Mixed Number

275/175 as a decimal and mixed number expansion provides the detailed information about what is 275/175 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

275/175 as a Decimal
275/175 = 1.5714
Hence,
275/175 as a decimal equals to 1.5714
where,
275/175 is a given fraction,
The decimal expansion of 275/175 is 1.5714

275/175 as a Mixed Number
275/175 = (175 + 100)/175
= 175/175 + 100/175
= 1 + 100/175
= 1 100/175
275/175 = 1 100/175

Hence,
275/175 as a mixed number is 1 ¹⁰⁰/₁₇₅
where,
275/175 is a given fraction,
1 ¹⁰⁰/₁₇₅ is the mixed number representation of 275/175.

The below work with steps provide the detailed information about how to convert fraction 275/175 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 275/175

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 275/175.

step 2 The numerator is greater than the denominator of the fraction 275/175, so write the given fraction in the expression form in terms of denominator as like the below:
= 275/175
= 175 + 100/175

step 3 Make the above expression as individual fractions:
= 175/175 + 100/175

step 4 Simplify the above expression:
= 1 x 175/175 + 100/175
= 1 + 100/175
= 1 + 4 x 25/7 x 25
= 1 + 4/7
1 + 4/7 can be written as a mixed number 1 ⁴/₇.


step 5 Find the decimal equivalent for the fractional part 4/7 in the above expression:
= 1 + 0.5714
= 1.5714
275/175 = 1.5714

Hence,
275/175 as a decimal is 1.5714
275/175 as a mixed number is 1 ⁴/₇