38/35 as a decimal and mixed number expansion provides the detailed information about what is 38/35 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
38/35 as a Decimal Expansion
38/35 = 1.0857
Hence,
38/35 as a decimal equals to 1.0857
where,
38/35 is a given fraction,
The decimal expansion of 38/35 is 1.0857
38/35 as a Mixed Number
38/35 = (35 + 3)/35
= 35/35 + 3/35
= 1 + 3/35
= 1 3/35
38/35 = 1 3/35
Hence,
38/35 as a mixed number is 1 3/35
where,
38/35 is a given fraction,
1 3/35 is the mixed number representation of 38/35.
The below work with steps provide the detailed information about how to convert fraction 38/35 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 38/35
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 38/35.
step 2 The numerator is greater than the denominator of the fraction 38/35, so write the given fraction in the expression form in terms of denominator as like the below:
= 38/35
= 35 + 3/35
step 3 Make the above expression as individual fractions:
= 35/35 + 3/35
step 4 Simplify the above expression:
= 1 x 35/35 + 3/35
= 1 + 3/35
1 + 3/35 can be written as a mixed number 1 3/35.
step 5 Find the decimal equivalent for the fractional part 3/35 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 3/35. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 3/35.
= 1 + (3/35 x 100/100)
step 6 Simplify the above expression further:
= 1 + (300/35 x 1/100)
= 1 + (280 + 20/35 x 1/100)
= 1 + [(280/35 + 20/35 ) x 1/100]
= 1 + [(8 + 20/35) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 20/35 in the above expression:
= 1 + [(8 + 20/35) x 1/100]
= 1 + [(8 + 0.57) x 1/100]
= 1 + (8.57 x 1/100)
= 1 + 8.57/100
= 1 + 0.0857
step 8 Find the sum of above expression:
= 1 + 0.0857
= 1.0857
38/35 = 1.0857
Hence,
38/35 as a decimal is 1.0857
38/35 as a mixed number is 1 3/35