345/270 as a Decimal and Mixed Number

345/270 as a decimal and mixed number expansion provides the detailed information about what is 345/270 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/270 as a Decimal
345/270 = 1.2778
Hence,
345/270 as a decimal equals to 1.2778
where,
345/270 is a given fraction,
The decimal expansion of 345/270 is 1.2778

345/270 as a Mixed Number
345/270 = (270 + 75)/270
= 270/270 + 75/270
= 1 + 75/270
= 1 75/270
345/270 = 1 75/270

Hence,
345/270 as a mixed number is 1 ⁷⁵/₂₇₀
where,
345/270 is a given fraction,
1 ⁷⁵/₂₇₀ is the mixed number representation of 345/270.

The below work with steps provide the detailed information about how to convert fraction 345/270 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/270

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/270.

step 2 The numerator is greater than the denominator of the fraction 345/270, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/270
= 270 + 75/270

step 3 Make the above expression as individual fractions:
= 270/270 + 75/270

step 4 Simplify the above expression:
= 1 x 270/270 + 75/270
= 1 + 75/270
= 1 + 5 x 15/18 x 15
= 1 + 5/18
1 + 5/18 can be written as a mixed number 1 ⁵/₁₈.


step 5 Find the decimal equivalent for the fractional part 5/18 in the above expression:
= 1 + 0.2778
= 1.2778
345/270 = 1.2778

Hence,
345/270 as a decimal is 1.2778
345/270 as a mixed number is 1 ⁵/₁₈