249/60 as a Decimal and Mixed Number
249/60 as a decimal and mixed number expansion provides the detailed information about what is 249/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
249/60 as a Decimal
249/60 = 4.15
Hence,
249/60 as a decimal equals to 4.15
where,
249/60 is a given fraction,
The decimal expansion of 249/60 is 4.15
249/60 as a Mixed Number
249/60 = (240 + 9)/60
= 240/60 + 9/60
= 4 + 9/60
= 4 9/60
249/60 = 4 9/60
Hence,
249/60 as a mixed number is 4 9/60
where,
249/60 is a given fraction,
4 9/60 is the mixed number representation of 249/60.
How-to: 249/60 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 249/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 249/60
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 249/60.
step 2 The numerator is greater than the denominator of the fraction 249/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 249/60
= 240 + 9/60
= (4 x 60) + 9/60
step 3 Make the above expression as individual fractions:
= (4 x 60)/60 + 9/60
step 4 Simplify the above expression:
= 4 x 60/60 + 9/60
= 4 + 9/60
= 4 + 3 x 3/20 x 3
= 4 + 3/20
4 + 3/20 can be written as a mixed number 4 3/20.
step 5 Find the decimal equivalent for the fractional part 3/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 4 + (3/20 x 5/5)
= 4 + 15/100
step 6 Simplify the above expression further:
= 4 + 0.15
= 4.15
249/60 = 4.15
Hence,
249/60 as a decimal is 4.15
249/60 as a mixed number is 4 3/20