312/302 as a Decimal and Mixed Number

312/302 as a decimal and mixed number expansion provides the detailed information about what is 312/302 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

312/302 as a Decimal
312/302 = 1.0331
Hence,
312/302 as a decimal equals to 1.0331
where,
312/302 is a given fraction,
The decimal expansion of 312/302 is 1.0331

312/302 as a Mixed Number
312/302 = (302 + 10)/302
= 302/302 + 10/302
= 1 + 10/302
= 1 10/302
312/302 = 1 10/302

Hence,
312/302 as a mixed number is 1 ¹⁰/₃₀₂
where,
312/302 is a given fraction,
1 ¹⁰/₃₀₂ is the mixed number representation of 312/302.

The below work with steps provide the detailed information about how to convert fraction 312/302 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 312/302

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 312/302.

step 2 The numerator is greater than the denominator of the fraction 312/302, so write the given fraction in the expression form in terms of denominator as like the below:
= 312/302
= 302 + 10/302

step 3 Make the above expression as individual fractions:
= 302/302 + 10/302

step 4 Simplify the above expression:
= 1 x 302/302 + 10/302
= 1 + 10/302
= 1 + 5 x 2/151 x 2
= 1 + 5/151
1 + 5/151 can be written as a mixed number 1 ⁵/₁₅₁.


step 5 Find the decimal equivalent for the fractional part 5/151 in the above expression:
= 1 + 0.0331
= 1.0331
312/302 = 1.0331

Hence,
312/302 as a decimal is 1.0331
312/302 as a mixed number is 1 ⁵/₁₅₁