35/8 as a Decimal and Mixed Number
35/8 as a decimal and mixed number expansion provides the detailed information about what is 35/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
35/8 as a Decimal
35/8 = 4.375
Hence,
35/8 as a decimal equals to 4.375
where,
35/8 is a given fraction,
The decimal expansion of 35/8 is 4.375
35/8 as a Mixed Number
35/8 = (32 + 3)/8
= 32/8 + 3/8
= 4 + 3/8
= 4 3/8
35/8 = 4 3/8
Hence,
35/8 as a mixed number is 4 3/8
where,
35/8 is a given fraction,
4 3/8 is the mixed number representation of 35/8.
How-to: 35/8 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 35/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 35/8
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 35/8.
step 2 The numerator is greater than the denominator of the fraction 35/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 35/8
= 32 + 3/8
= (4 x 8) + 3/8
step 3 Make the above expression as individual fractions:
= (4 x 8)/8 + 3/8
step 4 Simplify the above expression:
= 4 x 8/8 + 3/8
= 4 + 3/8
4 + 3/8 can be written as a mixed number 4 3/8.
step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 4 + (3/8 x 125/125)
= 4 + 375/1000
step 6 Simplify the above expression further:
= 4 + 0.375
= 4.375
35/8 = 4.375
Hence,
35/8 as a decimal is 4.375
35/8 as a mixed number is 4 3/8