19/13 as a Decimal and Mixed Number

19/13 as a decimal and mixed number expansion provides the detailed information about what is 19/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

19/13 as a Decimal Expansion
19/13 = 1.4615
Hence,
19/13 as a decimal equals to 1.4615
where,
19/13 is a given fraction,
The decimal expansion of 19/13 is 1.4615

19/13 as a Mixed Number
19/13 = (13 + 6)/13
= 13/13 + 6/13
= 1 + 6/13
= 1 6/13
19/13 = 1 6/13

Hence,
19/13 as a mixed number is 1 ⁶/₁₃
where,
19/13 is a given fraction,
1 ⁶/₁₃ is the mixed number representation of 19/13.

The below work with steps provide the detailed information about how to convert fraction 19/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 19/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 19/13.

step 2 The numerator is greater than the denominator of the fraction 19/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 19/13
= 13 + 6/13

step 3 Make the above expression as individual fractions:
= 13/13 + 6/13

step 4 Simplify the above expression:
= 1 x 13/13 + 6/13
= 1 + 6/13
1 + 6/13 can be written as a mixed number 1 ⁶/₁₃.


step 5 Find the decimal equivalent for the fractional part 6/13 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 6/13. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 6/13.
= 1 + (6/13 x 100/100)

step 6 Simplify the above expression further:
= 1 + (600/13 x 1/100)
= 1 + (598 + 2/13 x 1/100)
= 1 + [(598/13 + 2/13 ) x 1/100]
= 1 + [(46 + 2/13) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/13 in the above expression:
= 1 + [(46 + 2/13) x 1/100]
= 1 + [(46 + 0.15) x 1/100]
= 1 + (46.15 x 1/100)
= 1 + 46.15/100
= 1 + 0.4615

step 8 Find the sum of above expression:
= 1 + 0.4615
= 1.4615
19/13 = 1.4615

Hence,
19/13 as a decimal is 1.4615
19/13 as a mixed number is 1 ⁶/₁₃