326/16 as a decimal and mixed number expansion provides the detailed information about what is 326/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
326/16 as a Decimal
326/16 = 20.375
Hence,
326/16 as a decimal equals to 20.375
where,
326/16 is a given fraction,
The decimal expansion of 326/16 is 20.375
326/16 as a Mixed Number
326/16 = (320 + 6)/16
= 320/16 + 6/16
= 20 + 6/16
= 20 6/16
326/16 = 20 6/16
Hence,
326/16 as a mixed number is 20 6/16
where,
326/16 is a given fraction,
20 6/16 is the mixed number representation of 326/16.
The below work with steps provide the detailed information about how to convert fraction 326/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 326/16
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 326/16.
step 2 The numerator is greater than the denominator of the fraction 326/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 326/16
= 320 + 6/16
= (20 x 16) + 6/16
step 3 Make the above expression as individual fractions:
= (20 x 16)/16 + 6/16
step 4 Simplify the above expression:
= 20 x 16/16 + 6/16
= 20 + 6/16
= 20 + 3 x 2/8 x 2
= 20 + 3/8
20 + 3/8 can be written as a mixed number 20 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:
= 20 + (3/8 x 125/125)
= 20 + 375/1000
step 6 Simplify the above expression further:
= 20 + 0.375
= 20.375
326/16 = 20.375
Hence,
326/16 as a decimal is 20.375
326/16 as a mixed number is 20 3/8