270/188 as a Decimal and Mixed Number

270/188 as a decimal and mixed number expansion provides the detailed information about what is 270/188 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

270/188 as a Decimal
270/188 = 1.4362
Hence,
270/188 as a decimal equals to 1.4362
where,
270/188 is a given fraction,
The decimal expansion of 270/188 is 1.4362

270/188 as a Mixed Number
270/188 = (188 + 82)/188
= 188/188 + 82/188
= 1 + 82/188
= 1 82/188
270/188 = 1 82/188

Hence,
270/188 as a mixed number is 1 ⁸²/₁₈₈
where,
270/188 is a given fraction,
1 ⁸²/₁₈₈ is the mixed number representation of 270/188.

The below work with steps provide the detailed information about how to convert fraction 270/188 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/188

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/188.

step 2 The numerator is greater than the denominator of the fraction 270/188, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/188
= 188 + 82/188

step 3 Make the above expression as individual fractions:
= 188/188 + 82/188

step 4 Simplify the above expression:
= 1 x 188/188 + 82/188
= 1 + 82/188
= 1 + 41 x 2/94 x 2
= 1 + 41/94
1 + 41/94 can be written as a mixed number 1 ⁴¹/₉₄.


step 5 Find the decimal equivalent for the fractional part 41/94 in the above expression:
= 1 + 0.4362
= 1.4362
270/188 = 1.4362

Hence,
270/188 as a decimal is 1.4362
270/188 as a mixed number is 1 ⁴¹/₉₄