312/308 as a Decimal and Mixed Number

312/308 as a decimal and mixed number expansion provides the detailed information about what is 312/308 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

312/308 as a Decimal
312/308 = 1.013
Hence,
312/308 as a decimal equals to 1.013
where,
312/308 is a given fraction,
The decimal expansion of 312/308 is 1.013

312/308 as a Mixed Number
312/308 = (308 + 4)/308
= 308/308 + 4/308
= 1 + 4/308
= 1 4/308
312/308 = 1 4/308

Hence,
312/308 as a mixed number is 1 ⁴/₃₀₈
where,
312/308 is a given fraction,
1 ⁴/₃₀₈ is the mixed number representation of 312/308.

The below work with steps provide the detailed information about how to convert fraction 312/308 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 312/308

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 312/308.

step 2 The numerator is greater than the denominator of the fraction 312/308, so write the given fraction in the expression form in terms of denominator as like the below:
= 312/308
= 308 + 4/308

step 3 Make the above expression as individual fractions:
= 308/308 + 4/308

step 4 Simplify the above expression:
= 1 x 308/308 + 4/308
= 1 + 4/308
= 1 + 1 x 4/77 x 4
= 1 + 1/77
1 + 1/77 can be written as a mixed number 1 ¹/₇₇.


step 5 Find the decimal equivalent for the fractional part 1/77 in the above expression:
= 1 + 0.013
= 1.013
312/308 = 1.013

Hence,
312/308 as a decimal is 1.013
312/308 as a mixed number is 1 ¹/₇₇