306/288 as a Decimal and Mixed Number
306/288 as a decimal and mixed number expansion provides the detailed information about what is 306/288 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
306/288 as a Decimal
306/288 = 1.0625
Hence,
306/288 as a decimal equals to 1.0625
where,
306/288 is a given fraction,
The decimal expansion of 306/288 is 1.0625
306/288 as a Mixed Number
306/288 = (288 + 18)/288
= 288/288 + 18/288
= 1 + 18/288
= 1 18/288
306/288 = 1 18/288
Hence,
306/288 as a mixed number is 1 18/288
where,
306/288 is a given fraction,
1 18/288 is the mixed number representation of 306/288.
How-to: 306/288 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 306/288 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 306/288
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 306/288.
step 2 The numerator is greater than the denominator of the fraction 306/288, so write the given fraction in the expression form in terms of denominator as like the below:
= 306/288
= 288 + 18/288
step 3 Make the above expression as individual fractions:
= 288/288 + 18/288
step 4 Simplify the above expression:
= 1 x 288/288 + 18/288
= 1 + 18/288
= 1 + 1 x 18/16 x 18
= 1 + 1/16
1 + 1/16 can be written as a mixed number 1 1/16.
step 5 Find the decimal equivalent for the fractional part 1/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (1/16 x 625/625)
= 1 + 625/10000
step 6 Simplify the above expression further:
= 1 + 0.0625
= 1.0625
306/288 = 1.0625
Hence,
306/288 as a decimal is 1.0625
306/288 as a mixed number is 1 1/16