270/245 as a Decimal and Mixed Number

270/245 as a decimal and mixed number expansion provides the detailed information about what is 270/245 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/245 as a Decimal
270/245 = 1.102
Hence,
270/245 as a decimal equals to 1.102
where,
270/245 is a given fraction,
The decimal expansion of 270/245 is 1.102

270/245 as a Mixed Number
270/245 = (245 + 25)/245
= 245/245 + 25/245
= 1 + 25/245
= 1 25/245
270/245 = 1 25/245

Hence,
270/245 as a mixed number is 1 ²⁵/₂₄₅
where,
270/245 is a given fraction,
1 ²⁵/₂₄₅ is the mixed number representation of 270/245.

The below work with steps provide the detailed information about how to convert fraction 270/245 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/245

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/245.

step 2 The numerator is greater than the denominator of the fraction 270/245, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/245
= 245 + 25/245

step 3 Make the above expression as individual fractions:
= 245/245 + 25/245

step 4 Simplify the above expression:
= 1 x 245/245 + 25/245
= 1 + 25/245
= 1 + 5 x 5/49 x 5
= 1 + 5/49
1 + 5/49 can be written as a mixed number 1 ⁵/₄₉.


step 5 Find the decimal equivalent for the fractional part 5/49 in the above expression:
= 1 + 0.102
= 1.102
270/245 = 1.102

Hence,
270/245 as a decimal is 1.102
270/245 as a mixed number is 1 ⁵/₄₉