16/13 as a Decimal and Mixed Number
16/13 as a decimal and mixed number expansion provides the detailed information about what is 16/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
16/13 as a Decimal Expansion
16/13 = 1.2308
Hence,
16/13 as a decimal equals to 1.2308
where,
16/13 is a given fraction,
The decimal expansion of 16/13 is 1.2308
16/13 as a Mixed Number
16/13 = (13 + 3)/13
= 13/13 + 3/13
= 1 + 3/13
= 1 3/13
16/13 = 1 3/13
Hence,
16/13 as a mixed number is 1 3/13
where,
16/13 is a given fraction,
1 3/13 is the mixed number representation of 16/13.
How-to: 16/13 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 16/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 16/13
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 16/13.
step 2 The numerator is greater than the denominator of the fraction 16/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 16/13
= 13 + 3/13
step 3 Make the above expression as individual fractions:
= 13/13 + 3/13
step 4 Simplify the above expression:
= 1 x 13/13 + 3/13
= 1 + 3/13
1 + 3/13 can be written as a mixed number 1 3/13.
step 5 Find the decimal equivalent for the fractional part 3/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 3/13. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 3/13.
= 1 + (3/13 x 100/100)
step 6 Simplify the above expression further:
= 1 + (300/13 x 1/100)
= 1 + (299 + 1/13 x 1/100)
= 1 + [(299/13 + 1/13 ) x 1/100]
= 1 + [(23 + 1/13) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/13 in the above expression:
= 1 + [(23 + 1/13) x 1/100]
= 1 + [(23 + 0.08) x 1/100]
= 1 + (23.08 x 1/100)
= 1 + 23.08/100
= 1 + 0.2308
step 8 Find the sum of above expression:
= 1 + 0.2308
= 1.2308
16/13 = 1.2308
Hence,
16/13 as a decimal is 1.2308
16/13 as a mixed number is 1 3/13