315/145 as a Decimal and Mixed Number

315/145 as a decimal and mixed number expansion provides the detailed information about what is 315/145 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/145 as a Decimal
315/145 = 2.1724
Hence,
315/145 as a decimal equals to 2.1724
where,
315/145 is a given fraction,
The decimal expansion of 315/145 is 2.1724

315/145 as a Mixed Number
315/145 = (290 + 25)/145
= 290/145 + 25/145
= 2 + 25/145
= 2 25/145
315/145 = 2 25/145

Hence,
315/145 as a mixed number is 2 ²⁵/₁₄₅
where,
315/145 is a given fraction,
2 ²⁵/₁₄₅ is the mixed number representation of 315/145.

The below work with steps provide the detailed information about how to convert fraction 315/145 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/145

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/145.

step 2 The numerator is greater than the denominator of the fraction 315/145, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/145
= 290 + 25/145
= (2 x 145) + 25/145

step 3 Make the above expression as individual fractions:
= (2 x 145)/145 + 25/145

step 4 Simplify the above expression:
= 2 x 145/145 + 25/145
= 2 + 25/145
= 2 + 5 x 5/29 x 5
= 2 + 5/29
2 + 5/29 can be written as a mixed number 2 ⁵/₂₉.


step 5 Find the decimal equivalent for the fractional part 5/29 in the above expression:
= 2 + 0.1724
= 2.1724
315/145 = 2.1724

Hence,
315/145 as a decimal is 2.1724
315/145 as a mixed number is 2 ⁵/₂₉