270/153 as a Decimal and Mixed Number

270/153 as a decimal and mixed number expansion provides the detailed information about what is 270/153 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/153 as a Decimal
270/153 = 1.7647
Hence,
270/153 as a decimal equals to 1.7647
where,
270/153 is a given fraction,
The decimal expansion of 270/153 is 1.7647

270/153 as a Mixed Number
270/153 = (153 + 117)/153
= 153/153 + 117/153
= 1 + 117/153
= 1 117/153
270/153 = 1 117/153

Hence,
270/153 as a mixed number is 1 ¹¹⁷/₁₅₃
where,
270/153 is a given fraction,
1 ¹¹⁷/₁₅₃ is the mixed number representation of 270/153.

The below work with steps provide the detailed information about how to convert fraction 270/153 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/153

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/153.

step 2 The numerator is greater than the denominator of the fraction 270/153, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/153
= 153 + 117/153

step 3 Make the above expression as individual fractions:
= 153/153 + 117/153

step 4 Simplify the above expression:
= 1 x 153/153 + 117/153
= 1 + 117/153
= 1 + 13 x 9/17 x 9
= 1 + 13/17
1 + 13/17 can be written as a mixed number 1 ¹³/₁₇.


step 5 Find the decimal equivalent for the fractional part 13/17 in the above expression:
= 1 + 0.7647
= 1.7647
270/153 = 1.7647

Hence,
270/153 as a decimal is 1.7647
270/153 as a mixed number is 1 ¹³/₁₇