345/120 as a Decimal and Mixed Number

345/120 as a decimal and mixed number expansion provides the detailed information about what is 345/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/120 as a Decimal
345/120 = 2.875
Hence,
345/120 as a decimal equals to 2.875
where,
345/120 is a given fraction,
The decimal expansion of 345/120 is 2.875

345/120 as a Mixed Number
345/120 = (240 + 105)/120
= 240/120 + 105/120
= 2 + 105/120
= 2 105/120
345/120 = 2 105/120

Hence,
345/120 as a mixed number is 2 ¹⁰⁵/₁₂₀
where,
345/120 is a given fraction,
2 ¹⁰⁵/₁₂₀ is the mixed number representation of 345/120.

The below work with steps provide the detailed information about how to convert fraction 345/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/120.

step 2 The numerator is greater than the denominator of the fraction 345/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/120
= 240 + 105/120
= (2 x 120) + 105/120

step 3 Make the above expression as individual fractions:
= (2 x 120)/120 + 105/120

step 4 Simplify the above expression:
= 2 x 120/120 + 105/120
= 2 + 105/120
= 2 + 7 x 15/8 x 15
= 2 + 7/8
2 + 7/8 can be written as a mixed number 2 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 2 + (7/8 x 125/125)
= 2 + 875/1000

step 6 Simplify the above expression further:
= 2 + 0.875
= 2.875
345/120 = 2.875

Hence,
345/120 as a decimal is 2.875
345/120 as a mixed number is 2 ⁷/₈