270/120 as a Decimal and Mixed Number
270/120 as a decimal and mixed number expansion provides the detailed information about what is 270/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
270/120 as a Decimal
270/120 = 2.25
Hence,
270/120 as a decimal equals to 2.25
where,
270/120 is a given fraction,
The decimal expansion of 270/120 is 2.25
270/120 as a Mixed Number
270/120 = (240 + 30)/120
= 240/120 + 30/120
= 2 + 30/120
= 2 30/120
270/120 = 2 30/120
Hence,
270/120 as a mixed number is 2 30/120
where,
270/120 is a given fraction,
2 30/120 is the mixed number representation of 270/120.
How-to: 270/120 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 270/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 270/120
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 270/120.
step 2 The numerator is greater than the denominator of the fraction 270/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 270/120
= 240 + 30/120
= (2 x 120) + 30/120
step 3 Make the above expression as individual fractions:
= (2 x 120)/120 + 30/120
step 4 Simplify the above expression:
= 2 x 120/120 + 30/120
= 2 + 30/120
= 2 + 1 x 30/4 x 30
= 2 + 1/4
2 + 1/4 can be written as a mixed number 2 1/4.
step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 2 + (1/4 x 25/25)
= 2 + 25/100
step 6 Simplify the above expression further:
= 2 + 0.25
= 2.25
270/120 = 2.25
Hence,
270/120 as a decimal is 2.25
270/120 as a mixed number is 2 1/4