23/15 as a Decimal and Mixed Number
23/15 as a decimal and mixed number expansion provides the detailed information about what is 23/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
23/15 as a Decimal Expansion
23/15 = 1.5333
Hence,
23/15 as a decimal equals to 1.5333
where,
23/15 is a given fraction,
The decimal expansion of 23/15 is 1.5333
23/15 as a Mixed Number
23/15 = (15 + 8)/15
= 15/15 + 8/15
= 1 + 8/15
= 1 8/15
23/15 = 1 8/15
Hence,
23/15 as a mixed number is 1 8/15
where,
23/15 is a given fraction,
1 8/15 is the mixed number representation of 23/15.
How-to: 23/15 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 23/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 23/15
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 23/15.
step 2 The numerator is greater than the denominator of the fraction 23/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 23/15
= 15 + 8/15
step 3 Make the above expression as individual fractions:
= 15/15 + 8/15
step 4 Simplify the above expression:
= 1 x 15/15 + 8/15
= 1 + 8/15
1 + 8/15 can be written as a mixed number 1 8/15.
step 5 Find the decimal equivalent for the fractional part 8/15 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 8/15. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 8/15.
= 1 + (8/15 x 100/100)
step 6 Simplify the above expression further:
= 1 + (800/15 x 1/100)
= 1 + (795 + 5/15 x 1/100)
= 1 + [(795/15 + 5/15 ) x 1/100]
= 1 + [(53 + 5/15) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/15 in the above expression:
= 1 + [(53 + 5/15) x 1/100]
= 1 + [(53 + 0.33) x 1/100]
= 1 + (53.33 x 1/100)
= 1 + 53.33/100
= 1 + 0.5333
step 8 Find the sum of above expression:
= 1 + 0.5333
= 1.5333
23/15 = 1.5333
Hence,
23/15 as a decimal is 1.5333
23/15 as a mixed number is 1 8/15