23/13 as a Decimal and Mixed Number
23/13 as a decimal and mixed number expansion provides the detailed information about what is 23/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
23/13 as a Decimal Expansion
23/13 = 1.7692
Hence,
23/13 as a decimal equals to 1.7692
where,
23/13 is a given fraction,
The decimal expansion of 23/13 is 1.7692
23/13 as a Mixed Number
23/13 = (13 + 10)/13
= 13/13 + 10/13
= 1 + 10/13
= 1 10/13
23/13 = 1 10/13
Hence,
23/13 as a mixed number is 1 10/13
where,
23/13 is a given fraction,
1 10/13 is the mixed number representation of 23/13.
How-to: 23/13 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 23/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 23/13
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 23/13.
step 2 The numerator is greater than the denominator of the fraction 23/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 23/13
= 13 + 10/13
step 3 Make the above expression as individual fractions:
= 13/13 + 10/13
step 4 Simplify the above expression:
= 1 x 13/13 + 10/13
= 1 + 10/13
1 + 10/13 can be written as a mixed number 1 10/13.
step 5 Find the decimal equivalent for the fractional part 10/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 10/13. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 10/13.
= 1 + (10/13 x 10/10)
step 6 Simplify the above expression further:
= 1 + (100/13 x 1/10)
= 1 + (91 + 9/13 x 1/10)
= 1 + [(91/13 + 9/13 ) x 1/10]
= 1 + [(7 + 9/13) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 9/13 in the above expression:
= 1 + [(7 + 9/13) x 1/10]
= 1 + [(7 + 0.69) x 1/10]
= 1 + (7.69 x 1/10)
= 1 + 7.69/10
= 1 + 0.769
step 8 Find the sum of above expression:
= 1 + 0.769
= 1.769
23/13 = 1.769
Hence,
23/13 as a decimal is 1.769
23/13 as a mixed number is 1 10/13