120/28 as a decimal and mixed number expansion provides the detailed information about what is 120/28 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
120/28 as a Decimal
120/28 = 4.2857
Hence,
120/28 as a decimal equals to 4.2857
where,
120/28 is a given fraction,
The decimal expansion of 120/28 is 4.2857
120/28 as a Mixed Number
120/28 = (112 + 8)/28
= 112/28 + 8/28
= 4 + 8/28
= 4 8/28
120/28 = 4 8/28
Hence,
120/28 as a mixed number is 4 8/28
where,
120/28 is a given fraction,
4 8/28 is the mixed number representation of 120/28.
The below work with steps provide the detailed information about how to convert fraction 120/28 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 120/28
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 120/28.
step 2 The numerator is greater than the denominator of the fraction 120/28, so write the given fraction in the expression form in terms of denominator as like the below:
= 120/28
= 112 + 8/28
= (4 x 28) + 8/28
step 3 Make the above expression as individual fractions:
= (4 x 28)/28 + 8/28
step 4 Simplify the above expression:
= 4 x 28/28 + 8/28
= 4 + 8/28
= 4 + 2 x 4/7 x 4
= 4 + 2/7
4 + 2/7 can be written as a mixed number 4 2/7.
step 5 Find the decimal equivalent for the fractional part 2/7 in the above expression:
= 4 + 0.2857
= 4.2857
120/28 = 4.2857
Hence,
120/28 as a decimal is 4.2857
120/28 as a mixed number is 4 2/7