18/13 as a Decimal and Mixed Number
18/13 as a decimal and mixed number expansion provides the detailed information about what is 18/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
18/13 as a Decimal Expansion
18/13 = 1.3846
Hence,
18/13 as a decimal equals to 1.3846
where,
18/13 is a given fraction,
The decimal expansion of 18/13 is 1.3846
18/13 as a Mixed Number
18/13 = (13 + 5)/13
= 13/13 + 5/13
= 1 + 5/13
= 1 5/13
18/13 = 1 5/13
Hence,
18/13 as a mixed number is 1 5/13
where,
18/13 is a given fraction,
1 5/13 is the mixed number representation of 18/13.
How-to: 18/13 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 18/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 18/13
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 18/13.
step 2 The numerator is greater than the denominator of the fraction 18/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 18/13
= 13 + 5/13
step 3 Make the above expression as individual fractions:
= 13/13 + 5/13
step 4 Simplify the above expression:
= 1 x 13/13 + 5/13
= 1 + 5/13
1 + 5/13 can be written as a mixed number 1 5/13.
step 5 Find the decimal equivalent for the fractional part 5/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/13. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 5/13.
= 1 + (5/13 x 100/100)
step 6 Simplify the above expression further:
= 1 + (500/13 x 1/100)
= 1 + (494 + 6/13 x 1/100)
= 1 + [(494/13 + 6/13 ) x 1/100]
= 1 + [(38 + 6/13) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 6/13 in the above expression:
= 1 + [(38 + 6/13) x 1/100]
= 1 + [(38 + 0.46) x 1/100]
= 1 + (38.46 x 1/100)
= 1 + 38.46/100
= 1 + 0.3846
step 8 Find the sum of above expression:
= 1 + 0.3846
= 1.3846
18/13 = 1.3846
Hence,
18/13 as a decimal is 1.3846
18/13 as a mixed number is 1 5/13