288/45 as a Decimal and Mixed Number

288/45 as a decimal and mixed number expansion provides the detailed information about what is 288/45 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

288/45 as a Decimal
288/45 = 6.4
Hence,
288/45 as a decimal equals to 6.4
where,
288/45 is a given fraction,
The decimal expansion of 288/45 is 6.4

288/45 as a Mixed Number
288/45 = (270 + 18)/45
= 270/45 + 18/45
= 6 + 18/45
= 6 18/45
288/45 = 6 18/45

Hence,
288/45 as a mixed number is 6 ¹⁸/₄₅
where,
288/45 is a given fraction,
6 ¹⁸/₄₅ is the mixed number representation of 288/45.

The below work with steps provide the detailed information about how to convert fraction 288/45 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 288/45

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 288/45.

step 2 The numerator is greater than the denominator of the fraction 288/45, so write the given fraction in the expression form in terms of denominator as like the below:
= 288/45
= 270 + 18/45
= (6 x 45) + 18/45

step 3 Make the above expression as individual fractions:
= (6 x 45)/45 + 18/45

step 4 Simplify the above expression:
= 6 x 45/45 + 18/45
= 6 + 18/45
= 6 + 2 x 9/5 x 9
= 6 + 2/5
6 + 2/5 can be written as a mixed number 6 ²/₅.


step 5 Find the decimal equivalent for the fractional part 2/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 6 + (2/5 x 2/2)
= 6 + 4/10

step 6 Simplify the above expression further:
= 6 + 0.4
= 6.4
288/45 = 6.4

Hence,
288/45 as a decimal is 6.4
288/45 as a mixed number is 6 ²/₅