32/19 as a decimal and mixed number expansion provides the detailed information about what is 32/19 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
32/19 as a Decimal Expansion
32/19 = 1.6842
Hence,
32/19 as a decimal equals to 1.6842
where,
32/19 is a given fraction,
The decimal expansion of 32/19 is 1.6842
32/19 as a Mixed Number
32/19 = (19 + 13)/19
= 19/19 + 13/19
= 1 + 13/19
= 1 13/19
32/19 = 1 13/19
Hence,
32/19 as a mixed number is 1 13/19
where,
32/19 is a given fraction,
1 13/19 is the mixed number representation of 32/19.
The below work with steps provide the detailed information about how to convert fraction 32/19 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 32/19
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 32/19.
step 2 The numerator is greater than the denominator of the fraction 32/19, so write the given fraction in the expression form in terms of denominator as like the below:
= 32/19
= 19 + 13/19
step 3 Make the above expression as individual fractions:
= 19/19 + 13/19
step 4 Simplify the above expression:
= 1 x 19/19 + 13/19
= 1 + 13/19
1 + 13/19 can be written as a mixed number 1 13/19.
step 5 Find the decimal equivalent for the fractional part 13/19 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 13/19. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 13/19.
= 1 + (13/19 x 10/10)
step 6 Simplify the above expression further:
= 1 + (130/19 x 1/10)
= 1 + (114 + 16/19 x 1/10)
= 1 + [(114/19 + 16/19 ) x 1/10]
= 1 + [(6 + 16/19) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 16/19 in the above expression:
= 1 + [(6 + 16/19) x 1/10]
= 1 + [(6 + 0.84) x 1/10]
= 1 + (6.84 x 1/10)
= 1 + 6.84/10
= 1 + 0.684
step 8 Find the sum of above expression:
= 1 + 0.684
= 1.684
32/19 = 1.684
Hence,
32/19 as a decimal is 1.684
32/19 as a mixed number is 1 13/19