345/310 as a Decimal and Mixed Number

345/310 as a decimal and mixed number expansion provides the detailed information about what is 345/310 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/310 as a Decimal
345/310 = 1.1129
Hence,
345/310 as a decimal equals to 1.1129
where,
345/310 is a given fraction,
The decimal expansion of 345/310 is 1.1129

345/310 as a Mixed Number
345/310 = (310 + 35)/310
= 310/310 + 35/310
= 1 + 35/310
= 1 35/310
345/310 = 1 35/310

Hence,
345/310 as a mixed number is 1 ³⁵/₃₁₀
where,
345/310 is a given fraction,
1 ³⁵/₃₁₀ is the mixed number representation of 345/310.

The below work with steps provide the detailed information about how to convert fraction 345/310 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/310

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/310.

step 2 The numerator is greater than the denominator of the fraction 345/310, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/310
= 310 + 35/310

step 3 Make the above expression as individual fractions:
= 310/310 + 35/310

step 4 Simplify the above expression:
= 1 x 310/310 + 35/310
= 1 + 35/310
= 1 + 7 x 5/62 x 5
= 1 + 7/62
1 + 7/62 can be written as a mixed number 1 ⁷/₆₂.


step 5 Find the decimal equivalent for the fractional part 7/62 in the above expression:
= 1 + 0.1129
= 1.1129
345/310 = 1.1129

Hence,
345/310 as a decimal is 1.1129
345/310 as a mixed number is 1 ⁷/₆₂