315/91 as a Decimal and Mixed Number

315/91 as a decimal and mixed number expansion provides the detailed information about what is 315/91 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/91 as a Decimal
315/91 = 3.4615
Hence,
315/91 as a decimal equals to 3.4615
where,
315/91 is a given fraction,
The decimal expansion of 315/91 is 3.4615

315/91 as a Mixed Number
315/91 = (273 + 42)/91
= 273/91 + 42/91
= 3 + 42/91
= 3 42/91
315/91 = 3 42/91

Hence,
315/91 as a mixed number is 3 ⁴²/₉₁
where,
315/91 is a given fraction,
3 ⁴²/₉₁ is the mixed number representation of 315/91.

The below work with steps provide the detailed information about how to convert fraction 315/91 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/91

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/91.

step 2 The numerator is greater than the denominator of the fraction 315/91, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/91
= 273 + 42/91
= (3 x 91) + 42/91

step 3 Make the above expression as individual fractions:
= (3 x 91)/91 + 42/91

step 4 Simplify the above expression:
= 3 x 91/91 + 42/91
= 3 + 42/91
= 3 + 6 x 7/13 x 7
= 3 + 6/13
3 + 6/13 can be written as a mixed number 3 ⁶/₁₃.


step 5 Find the decimal equivalent for the fractional part 6/13 in the above expression:
= 3 + 0.4615
= 3.4615
315/91 = 3.4615

Hence,
315/91 as a decimal is 3.4615
315/91 as a mixed number is 3 ⁶/₁₃