34/21 as a decimal and mixed number expansion provides the detailed information about what is 34/21 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
34/21 as a Decimal Expansion
34/21 = 1.619
Hence,
34/21 as a decimal equals to 1.619
where,
34/21 is a given fraction,
The decimal expansion of 34/21 is 1.619
34/21 as a Mixed Number
34/21 = (21 + 13)/21
= 21/21 + 13/21
= 1 + 13/21
= 1 13/21
34/21 = 1 13/21
Hence,
34/21 as a mixed number is 1 13/21
where,
34/21 is a given fraction,
1 13/21 is the mixed number representation of 34/21.
The below work with steps provide the detailed information about how to convert fraction 34/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 34/21
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 34/21.
step 2 The numerator is greater than the denominator of the fraction 34/21, so write the given fraction in the expression form in terms of denominator as like the below:
= 34/21
= 21 + 13/21
step 3 Make the above expression as individual fractions:
= 21/21 + 13/21
step 4 Simplify the above expression:
= 1 x 21/21 + 13/21
= 1 + 13/21
1 + 13/21 can be written as a mixed number 1 13/21.
step 5 Find the decimal equivalent for the fractional part 13/21 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 13/21. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 13/21.
= 1 + (13/21 x 10/10)
step 6 Simplify the above expression further:
= 1 + (130/21 x 1/10)
= 1 + (126 + 4/21 x 1/10)
= 1 + [(126/21 + 4/21 ) x 1/10]
= 1 + [(6 + 4/21) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 4/21 in the above expression:
= 1 + [(6 + 4/21) x 1/10]
= 1 + [(6 + 0.19) x 1/10]
= 1 + (6.19 x 1/10)
= 1 + 6.19/10
= 1 + 0.619
step 8 Find the sum of above expression:
= 1 + 0.619
= 1.619
34/21 = 1.619
Hence,
34/21 as a decimal is 1.619
34/21 as a mixed number is 1 13/21