145/120 as a Decimal and Mixed Number

145/120 as a decimal and mixed number expansion provides the detailed information about what is 145/120 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

145/120 as a Decimal
145/120 = 1.2083
Hence,
145/120 as a decimal equals to 1.2083
where,
145/120 is a given fraction,
The decimal expansion of 145/120 is 1.2083

145/120 as a Mixed Number
145/120 = (120 + 25)/120
= 120/120 + 25/120
= 1 + 25/120
= 1 25/120
145/120 = 1 25/120

Hence,
145/120 as a mixed number is 1 ²⁵/₁₂₀
where,
145/120 is a given fraction,
1 ²⁵/₁₂₀ is the mixed number representation of 145/120.

The below work with steps provide the detailed information about how to convert fraction 145/120 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 145/120

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 145/120.

step 2 The numerator is greater than the denominator of the fraction 145/120, so write the given fraction in the expression form in terms of denominator as like the below:
= 145/120
= 120 + 25/120

step 3 Make the above expression as individual fractions:
= 120/120 + 25/120

step 4 Simplify the above expression:
= 1 x 120/120 + 25/120
= 1 + 25/120
= 1 + 5 x 5/24 x 5
= 1 + 5/24
1 + 5/24 can be written as a mixed number 1 ⁵/₂₄.


step 5 Find the decimal equivalent for the fractional part 5/24 in the above expression:
= 1 + 0.2083
= 1.2083
145/120 = 1.2083

Hence,
145/120 as a decimal is 1.2083
145/120 as a mixed number is 1 ⁵/₂₄