124/36 as a decimal and mixed number expansion provides the detailed information about what is 124/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
124/36 as a Decimal
124/36 = 3.4444
Hence,
124/36 as a decimal equals to 3.4444
where,
124/36 is a given fraction,
The decimal expansion of 124/36 is 3.4444
124/36 as a Mixed Number
124/36 = (108 + 16)/36
= 108/36 + 16/36
= 3 + 16/36
= 3 16/36
124/36 = 3 16/36
Hence,
124/36 as a mixed number is 3 16/36
where,
124/36 is a given fraction,
3 16/36 is the mixed number representation of 124/36.
The below work with steps provide the detailed information about how to convert fraction 124/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 124/36
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 124/36.
step 2 The numerator is greater than the denominator of the fraction 124/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 124/36
= 108 + 16/36
= (3 x 36) + 16/36
step 3 Make the above expression as individual fractions:
= (3 x 36)/36 + 16/36
step 4 Simplify the above expression:
= 3 x 36/36 + 16/36
= 3 + 16/36
= 3 + 4 x 4/9 x 4
= 3 + 4/9
3 + 4/9 can be written as a mixed number 3 4/9.
step 5 Find the decimal equivalent for the fractional part 4/9 in the above expression:
= 3 + 0.4444
= 3.4444
124/36 = 3.4444
Hence,
124/36 as a decimal is 3.4444
124/36 as a mixed number is 3 4/9