348/270 as a Decimal and Mixed Number

348/270 as a decimal and mixed number expansion provides the detailed information about what is 348/270 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

348/270 as a Decimal
348/270 = 1.2889
Hence,
348/270 as a decimal equals to 1.2889
where,
348/270 is a given fraction,
The decimal expansion of 348/270 is 1.2889

348/270 as a Mixed Number
348/270 = (270 + 78)/270
= 270/270 + 78/270
= 1 + 78/270
= 1 78/270
348/270 = 1 78/270

Hence,
348/270 as a mixed number is 1 ⁷⁸/₂₇₀
where,
348/270 is a given fraction,
1 ⁷⁸/₂₇₀ is the mixed number representation of 348/270.

The below work with steps provide the detailed information about how to convert fraction 348/270 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 348/270

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 348/270.

step 2 The numerator is greater than the denominator of the fraction 348/270, so write the given fraction in the expression form in terms of denominator as like the below:
= 348/270
= 270 + 78/270

step 3 Make the above expression as individual fractions:
= 270/270 + 78/270

step 4 Simplify the above expression:
= 1 x 270/270 + 78/270
= 1 + 78/270
= 1 + 13 x 6/45 x 6
= 1 + 13/45
1 + 13/45 can be written as a mixed number 1 ¹³/₄₅.


step 5 Find the decimal equivalent for the fractional part 13/45 in the above expression:
= 1 + 0.2889
= 1.2889
348/270 = 1.2889

Hence,
348/270 as a decimal is 1.2889
348/270 as a mixed number is 1 ¹³/₄₅