315/300 as a Decimal and Mixed Number

315/300 as a decimal and mixed number expansion provides the detailed information about what is 315/300 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/300 as a Decimal
315/300 = 1.05
Hence,
315/300 as a decimal equals to 1.05
where,
315/300 is a given fraction,
The decimal expansion of 315/300 is 1.05

315/300 as a Mixed Number
315/300 = (300 + 15)/300
= 300/300 + 15/300
= 1 + 15/300
= 1 15/300
315/300 = 1 15/300

Hence,
315/300 as a mixed number is 1 ¹⁵/₃₀₀
where,
315/300 is a given fraction,
1 ¹⁵/₃₀₀ is the mixed number representation of 315/300.

The below work with steps provide the detailed information about how to convert fraction 315/300 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/300

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/300.

step 2 The numerator is greater than the denominator of the fraction 315/300, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/300
= 300 + 15/300

step 3 Make the above expression as individual fractions:
= 300/300 + 15/300

step 4 Simplify the above expression:
= 1 x 300/300 + 15/300
= 1 + 15/300
= 1 + 1 x 15/20 x 15
= 1 + 1/20
1 + 1/20 can be written as a mixed number 1 ¹/₂₀.


step 5 Find the decimal equivalent for the fractional part 1/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (1/20 x 5/5)
= 1 + 5/100

step 6 Simplify the above expression further:
= 1 + 0.05
= 1.05
315/300 = 1.05

Hence,
315/300 as a decimal is 1.05
315/300 as a mixed number is 1 ¹/₂₀