318/16 as a Decimal and Mixed Number
318/16 as a decimal and mixed number expansion provides the detailed information about what is 318/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
318/16 as a Decimal
318/16 = 19.875
Hence,
318/16 as a decimal equals to 19.875
where,
318/16 is a given fraction,
The decimal expansion of 318/16 is 19.875
318/16 as a Mixed Number
318/16 = (304 + 14)/16
= 304/16 + 14/16
= 19 + 14/16
= 19 14/16
318/16 = 19 14/16
Hence,
318/16 as a mixed number is 19 14/16
where,
318/16 is a given fraction,
19 14/16 is the mixed number representation of 318/16.
How-to: 318/16 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 318/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/16
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/16.
step 2 The numerator is greater than the denominator of the fraction 318/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/16
= 304 + 14/16
= (19 x 16) + 14/16
step 3 Make the above expression as individual fractions:
= (19 x 16)/16 + 14/16
step 4 Simplify the above expression:
= 19 x 16/16 + 14/16
= 19 + 14/16
= 19 + 7 x 2/8 x 2
= 19 + 7/8
19 + 7/8 can be written as a mixed number 19 7/8.
step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 19 + (7/8 x 125/125)
= 19 + 875/1000
step 6 Simplify the above expression further:
= 19 + 0.875
= 19.875
318/16 = 19.875
Hence,
318/16 as a decimal is 19.875
318/16 as a mixed number is 19 7/8