230/15 as a Decimal and Mixed Number
230/15 as a decimal and mixed number expansion provides the detailed information about what is 230/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
230/15 as a Decimal
230/15 = 15.3333
Hence,
230/15 as a decimal equals to 15.3333
where,
230/15 is a given fraction,
The decimal expansion of 230/15 is 15.3333
230/15 as a Mixed Number
230/15 = (225 + 5)/15
= 225/15 + 5/15
= 15 + 5/15
= 15 5/15
230/15 = 15 5/15
Hence,
230/15 as a mixed number is 15 5/15
where,
230/15 is a given fraction,
15 5/15 is the mixed number representation of 230/15.
How-to: 230/15 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 230/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 230/15
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 230/15.
step 2 The numerator is greater than the denominator of the fraction 230/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 230/15
= 225 + 5/15
= (15 x 15) + 5/15
step 3 Make the above expression as individual fractions:
= (15 x 15)/15 + 5/15
step 4 Simplify the above expression:
= 15 x 15/15 + 5/15
= 15 + 5/15
= 15 + 1 x 5/3 x 5
= 15 + 1/3
15 + 1/3 can be written as a mixed number 15 1/3.
step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 15 + 0.3333
= 15.3333
230/15 = 15.3333
Hence,
230/15 as a decimal is 15.3333
230/15 as a mixed number is 15 1/3