237/15 as a Decimal and Mixed Number

237/15 as a decimal and mixed number expansion provides the detailed information about what is 237/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

237/15 as a Decimal
237/15 = 15.8
Hence,
237/15 as a decimal equals to 15.8
where,
237/15 is a given fraction,
The decimal expansion of 237/15 is 15.8

237/15 as a Mixed Number
237/15 = (225 + 12)/15
= 225/15 + 12/15
= 15 + 12/15
= 15 12/15
237/15 = 15 12/15

Hence,
237/15 as a mixed number is 15 ¹²/₁₅
where,
237/15 is a given fraction,
15 ¹²/₁₅ is the mixed number representation of 237/15.

The below work with steps provide the detailed information about how to convert fraction 237/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 237/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 237/15.

step 2 The numerator is greater than the denominator of the fraction 237/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 237/15
= 225 + 12/15
= (15 x 15) + 12/15

step 3 Make the above expression as individual fractions:
= (15 x 15)/15 + 12/15

step 4 Simplify the above expression:
= 15 x 15/15 + 12/15
= 15 + 12/15
= 15 + 4 x 3/5 x 3
= 15 + 4/5
15 + 4/5 can be written as a mixed number 15 ⁴/₅.


step 5 Find the decimal equivalent for the fractional part 4/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 15 + (4/5 x 2/2)
= 15 + 8/10

step 6 Simplify the above expression further:
= 15 + 0.8
= 15.8
237/15 = 15.8

Hence,
237/15 as a decimal is 15.8
237/15 as a mixed number is 15 ⁴/₅