23/18 as a decimal and mixed number expansion provides the detailed information about what is 23/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
23/18 as a Decimal Expansion
23/18 = 1.2778
Hence,
23/18 as a decimal equals to 1.2778
where,
23/18 is a given fraction,
The decimal expansion of 23/18 is 1.2778
23/18 as a Mixed Number
23/18 = (18 + 5)/18
= 18/18 + 5/18
= 1 + 5/18
= 1 5/18
23/18 = 1 5/18
Hence,
23/18 as a mixed number is 1 5/18
where,
23/18 is a given fraction,
1 5/18 is the mixed number representation of 23/18.
The below work with steps provide the detailed information about how to convert fraction 23/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 23/18
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 23/18.
step 2 The numerator is greater than the denominator of the fraction 23/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 23/18
= 18 + 5/18
step 3 Make the above expression as individual fractions:
= 18/18 + 5/18
step 4 Simplify the above expression:
= 1 x 18/18 + 5/18
= 1 + 5/18
1 + 5/18 can be written as a mixed number 1 5/18.
step 5 Find the decimal equivalent for the fractional part 5/18 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/18. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 5/18.
= 1 + (5/18 x 100/100)
step 6 Simplify the above expression further:
= 1 + (500/18 x 1/100)
= 1 + (486 + 14/18 x 1/100)
= 1 + [(486/18 + 14/18 ) x 1/100]
= 1 + [(27 + 14/18) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 14/18 in the above expression:
= 1 + [(27 + 14/18) x 1/100]
= 1 + [(27 + 0.78) x 1/100]
= 1 + (27.78 x 1/100)
= 1 + 27.78/100
= 1 + 0.2778
step 8 Find the sum of above expression:
= 1 + 0.2778
= 1.2778
23/18 = 1.2778
Hence,
23/18 as a decimal is 1.2778
23/18 as a mixed number is 1 5/18