290/120 as a decimal and mixed number expansion provides the detailed information about what is 290/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
290/120 as a Decimal
290/120 = 2.4167
Hence,
290/120 as a decimal equals to 2.4167
where,
290/120 is a given fraction,
The decimal expansion of 290/120 is 2.4167
290/120 as a Mixed Number
290/120 = (240 + 50)/120
= 240/120 + 50/120
= 2 + 50/120
= 2 50/120
290/120 = 2 50/120
Hence,
290/120 as a mixed number is 2 50/120
where,
290/120 is a given fraction,
2 50/120 is the mixed number representation of 290/120.
The below work with steps provide the detailed information about how to convert fraction 290/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 290/120
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 290/120.
step 2 The numerator is greater than the denominator of the fraction 290/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 290/120
= 240 + 50/120
= (2 x 120) + 50/120
step 3 Make the above expression as individual fractions:
= (2 x 120)/120 + 50/120
step 4 Simplify the above expression:
= 2 x 120/120 + 50/120
= 2 + 50/120
= 2 + 5 x 10/12 x 10
= 2 + 5/12
2 + 5/12 can be written as a mixed number 2 5/12.
step 5 Find the decimal equivalent for the fractional part 5/12 in the above expression:
= 2 + 0.4167
= 2.4167
290/120 = 2.4167
Hence,
290/120 as a decimal is 2.4167
290/120 as a mixed number is 2 5/12