214/40 as a Decimal and Mixed Number
214/40 as a decimal and mixed number expansion provides the detailed information about what is 214/40 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
214/40 as a Decimal
214/40 = 5.35
Hence,
214/40 as a decimal equals to 5.35
where,
214/40 is a given fraction,
The decimal expansion of 214/40 is 5.35
214/40 as a Mixed Number
214/40 = (200 + 14)/40
= 200/40 + 14/40
= 5 + 14/40
= 5 14/40
214/40 = 5 14/40
Hence,
214/40 as a mixed number is 5 14/40
where,
214/40 is a given fraction,
5 14/40 is the mixed number representation of 214/40.
How-to: 214/40 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 214/40 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 214/40
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 214/40.
step 2 The numerator is greater than the denominator of the fraction 214/40, so write the given fraction in the expression form in terms of denominator as like the below:
= 214/40
= 200 + 14/40
= (5 x 40) + 14/40
step 3 Make the above expression as individual fractions:
= (5 x 40)/40 + 14/40
step 4 Simplify the above expression:
= 5 x 40/40 + 14/40
= 5 + 14/40
= 5 + 7 x 2/20 x 2
= 5 + 7/20
5 + 7/20 can be written as a mixed number 5 7/20.
step 5 Find the decimal equivalent for the fractional part 7/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 5 + (7/20 x 5/5)
= 5 + 35/100
step 6 Simplify the above expression further:
= 5 + 0.35
= 5.35
214/40 = 5.35
Hence,
214/40 as a decimal is 5.35
214/40 as a mixed number is 5 7/20