312/18 as a decimal and mixed number expansion provides the detailed information about what is 312/18 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
312/18 as a Decimal
312/18 = 17.3333
Hence,
312/18 as a decimal equals to 17.3333
where,
312/18 is a given fraction,
The decimal expansion of 312/18 is 17.3333
312/18 as a Mixed Number
312/18 = (306 + 6)/18
= 306/18 + 6/18
= 17 + 6/18
= 17 6/18
312/18 = 17 6/18
Hence,
312/18 as a mixed number is 17 6/18
where,
312/18 is a given fraction,
17 6/18 is the mixed number representation of 312/18.
The below work with steps provide the detailed information about how to convert fraction 312/18 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 312/18
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 312/18.
step 2 The numerator is greater than the denominator of the fraction 312/18, so write the given fraction in the expression form in terms of denominator as like the below:
= 312/18
= 306 + 6/18
= (17 x 18) + 6/18
step 3 Make the above expression as individual fractions:
= (17 x 18)/18 + 6/18
step 4 Simplify the above expression:
= 17 x 18/18 + 6/18
= 17 + 6/18
= 17 + 1 x 6/3 x 6
= 17 + 1/3
17 + 1/3 can be written as a mixed number 17 1/3.
step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 17 + 0.3333
= 17.3333
312/18 = 17.3333
Hence,
312/18 as a decimal is 17.3333
312/18 as a mixed number is 17 1/3