318/144 as a Decimal and Mixed Number

318/144 as a decimal and mixed number expansion provides the detailed information about what is 318/144 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

318/144 as a Decimal
318/144 = 2.2083
Hence,
318/144 as a decimal equals to 2.2083
where,
318/144 is a given fraction,
The decimal expansion of 318/144 is 2.2083

318/144 as a Mixed Number
318/144 = (288 + 30)/144
= 288/144 + 30/144
= 2 + 30/144
= 2 30/144
318/144 = 2 30/144

Hence,
318/144 as a mixed number is 2 ³⁰/₁₄₄
where,
318/144 is a given fraction,
2 ³⁰/₁₄₄ is the mixed number representation of 318/144.

The below work with steps provide the detailed information about how to convert fraction 318/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 318/144

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 318/144.

step 2 The numerator is greater than the denominator of the fraction 318/144, so write the given fraction in the expression form in terms of denominator as like the below:
= 318/144
= 288 + 30/144
= (2 x 144) + 30/144

step 3 Make the above expression as individual fractions:
= (2 x 144)/144 + 30/144

step 4 Simplify the above expression:
= 2 x 144/144 + 30/144
= 2 + 30/144
= 2 + 5 x 6/24 x 6
= 2 + 5/24
2 + 5/24 can be written as a mixed number 2 ⁵/₂₄.


step 5 Find the decimal equivalent for the fractional part 5/24 in the above expression:
= 2 + 0.2083
= 2.2083
318/144 = 2.2083

Hence,
318/144 as a decimal is 2.2083
318/144 as a mixed number is 2 ⁵/₂₄