310/124 as a decimal and mixed number expansion provides the detailed information about what is 310/124 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
310/124 as a Decimal
310/124 = 2.5
Hence,
310/124 as a decimal equals to 2.5
where,
310/124 is a given fraction,
The decimal expansion of 310/124 is 2.5
310/124 as a Mixed Number
310/124 = (248 + 62)/124
= 248/124 + 62/124
= 2 + 62/124
= 2 62/124
310/124 = 2 62/124
Hence,
310/124 as a mixed number is 2 62/124
where,
310/124 is a given fraction,
2 62/124 is the mixed number representation of 310/124.
The below work with steps provide the detailed information about how to convert fraction 310/124 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 310/124
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 310/124.
step 2 The numerator is greater than the denominator of the fraction 310/124, so write the given fraction in the expression form in terms of denominator as like the below:
= 310/124
= 248 + 62/124
= (2 x 124) + 62/124
step 3 Make the above expression as individual fractions:
= (2 x 124)/124 + 62/124
step 4 Simplify the above expression:
= 2 x 124/124 + 62/124
= 2 + 62/124
= 2 + 1 x 62/2 x 62
= 2 + 1/2
2 + 1/2 can be written as a mixed number 2 1/2.
step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 2 + (1/2 x 5/5)
= 2 + 5/10
step 6 Simplify the above expression further:
= 2 + 0.5
= 2.5
310/124 = 2.5
Hence,
310/124 as a decimal is 2.5
310/124 as a mixed number is 2 1/2