315/159 as a Decimal and Mixed Number

315/159 as a decimal and mixed number expansion provides the detailed information about what is 315/159 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

315/159 as a Decimal
315/159 = 1.9811
Hence,
315/159 as a decimal equals to 1.9811
where,
315/159 is a given fraction,
The decimal expansion of 315/159 is 1.9811

315/159 as a Mixed Number
315/159 = (159 + 156)/159
= 159/159 + 156/159
= 1 + 156/159
= 1 156/159
315/159 = 1 156/159

Hence,
315/159 as a mixed number is 1 ¹⁵⁶/₁₅₉
where,
315/159 is a given fraction,
1 ¹⁵⁶/₁₅₉ is the mixed number representation of 315/159.

The below work with steps provide the detailed information about how to convert fraction 315/159 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 315/159

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 315/159.

step 2 The numerator is greater than the denominator of the fraction 315/159, so write the given fraction in the expression form in terms of denominator as like the below:
= 315/159
= 159 + 156/159

step 3 Make the above expression as individual fractions:
= 159/159 + 156/159

step 4 Simplify the above expression:
= 1 x 159/159 + 156/159
= 1 + 156/159
= 1 + 52 x 3/53 x 3
= 1 + 52/53
1 + 52/53 can be written as a mixed number 1 ⁵²/₅₃.


step 5 Find the decimal equivalent for the fractional part 52/53 in the above expression:
= 1 + 0.9811
= 1.9811
315/159 = 1.9811

Hence,
315/159 as a decimal is 1.9811
315/159 as a mixed number is 1 ⁵²/₅₃