39/35 as a decimal and mixed number expansion provides the detailed information about what is 39/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
39/35 as a Decimal Expansion
39/35 = 1.1143
Hence,
39/35 as a decimal equals to 1.1143
where,
39/35 is a given fraction,
The decimal expansion of 39/35 is 1.1143
39/35 as a Mixed Number
39/35 = (35 + 4)/35
= 35/35 + 4/35
= 1 + 4/35
= 1 4/35
39/35 = 1 4/35
Hence,
39/35 as a mixed number is 1 4/35
where,
39/35 is a given fraction,
1 4/35 is the mixed number representation of 39/35.
The below work with steps provide the detailed information about how to convert fraction 39/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 39/35
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 39/35.
step 2 The numerator is greater than the denominator of the fraction 39/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 39/35
= 35 + 4/35
step 3 Make the above expression as individual fractions:
= 35/35 + 4/35
step 4 Simplify the above expression:
= 1 x 35/35 + 4/35
= 1 + 4/35
1 + 4/35 can be written as a mixed number 1 4/35.
step 5 Find the decimal equivalent for the fractional part 4/35 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 4/35. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 4/35.
= 1 + (4/35 x 100/100)
step 6 Simplify the above expression further:
= 1 + (400/35 x 1/100)
= 1 + (385 + 15/35 x 1/100)
= 1 + [(385/35 + 15/35 ) x 1/100]
= 1 + [(11 + 15/35) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 15/35 in the above expression:
= 1 + [(11 + 15/35) x 1/100]
= 1 + [(11 + 0.43) x 1/100]
= 1 + (11.43 x 1/100)
= 1 + 11.43/100
= 1 + 0.1143
step 8 Find the sum of above expression:
= 1 + 0.1143
= 1.1143
39/35 = 1.1143
Hence,
39/35 as a decimal is 1.1143
39/35 as a mixed number is 1 4/35