312/300 as a Decimal and Mixed Number

312/300 as a decimal and mixed number expansion provides the detailed information about what is 312/300 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

312/300 as a Decimal
312/300 = 1.04
Hence,
312/300 as a decimal equals to 1.04
where,
312/300 is a given fraction,
The decimal expansion of 312/300 is 1.04

312/300 as a Mixed Number
312/300 = (300 + 12)/300
= 300/300 + 12/300
= 1 + 12/300
= 1 12/300
312/300 = 1 12/300

Hence,
312/300 as a mixed number is 1 ¹²/₃₀₀
where,
312/300 is a given fraction,
1 ¹²/₃₀₀ is the mixed number representation of 312/300.

The below work with steps provide the detailed information about how to convert fraction 312/300 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 312/300

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 312/300.

step 2 The numerator is greater than the denominator of the fraction 312/300, so write the given fraction in the expression form in terms of denominator as like the below:
= 312/300
= 300 + 12/300

step 3 Make the above expression as individual fractions:
= 300/300 + 12/300

step 4 Simplify the above expression:
= 1 x 300/300 + 12/300
= 1 + 12/300
= 1 + 1 x 12/25 x 12
= 1 + 1/25
1 + 1/25 can be written as a mixed number 1 ¹/₂₅.


step 5 Find the decimal equivalent for the fractional part 1/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 1 + (1/25 x 4/4)
= 1 + 4/100

step 6 Simplify the above expression further:
= 1 + 0.04
= 1.04
312/300 = 1.04

Hence,
312/300 as a decimal is 1.04
312/300 as a mixed number is 1 ¹/₂₅