310/306 as a Decimal and Mixed Number

310/306 as a decimal and mixed number expansion provides the detailed information about what is 310/306 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

310/306 as a Decimal
310/306 = 1.0131
Hence,
310/306 as a decimal equals to 1.0131
where,
310/306 is a given fraction,
The decimal expansion of 310/306 is 1.0131

310/306 as a Mixed Number
310/306 = (306 + 4)/306
= 306/306 + 4/306
= 1 + 4/306
= 1 4/306
310/306 = 1 4/306

Hence,
310/306 as a mixed number is 1 ⁴/₃₀₆
where,
310/306 is a given fraction,
1 ⁴/₃₀₆ is the mixed number representation of 310/306.

The below work with steps provide the detailed information about how to convert fraction 310/306 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/306

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/306.

step 2 The numerator is greater than the denominator of the fraction 310/306, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/306
= 306 + 4/306

step 3 Make the above expression as individual fractions:
= 306/306 + 4/306

step 4 Simplify the above expression:
= 1 x 306/306 + 4/306
= 1 + 4/306
= 1 + 2 x 2/153 x 2
= 1 + 2/153
1 + 2/153 can be written as a mixed number 1 ²/₁₅₃.


step 5 Find the decimal equivalent for the fractional part 2/153 in the above expression:
= 1 + 0.0131
= 1.0131
310/306 = 1.0131

Hence,
310/306 as a decimal is 1.0131
310/306 as a mixed number is 1 ²/₁₅₃