300/69 as a Decimal and Mixed Number

300/69 as a decimal and mixed number expansion provides the detailed information about what is 300/69 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

300/69 as a Decimal
300/69 = 4.3478
Hence,
300/69 as a decimal equals to 4.3478
where,
300/69 is a given fraction,
The decimal expansion of 300/69 is 4.3478

300/69 as a Mixed Number
300/69 = (276 + 24)/69
= 276/69 + 24/69
= 4 + 24/69
= 4 24/69
300/69 = 4 24/69

Hence,
300/69 as a mixed number is 4 ²⁴/₆₉
where,
300/69 is a given fraction,
4 ²⁴/₆₉ is the mixed number representation of 300/69.

The below work with steps provide the detailed information about how to convert fraction 300/69 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 300/69

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 300/69.

step 2 The numerator is greater than the denominator of the fraction 300/69, so write the given fraction in the expression form in terms of denominator as like the below:
= 300/69
= 276 + 24/69
= (4 x 69) + 24/69

step 3 Make the above expression as individual fractions:
= (4 x 69)/69 + 24/69

step 4 Simplify the above expression:
= 4 x 69/69 + 24/69
= 4 + 24/69
= 4 + 8 x 3/23 x 3
= 4 + 8/23
4 + 8/23 can be written as a mixed number 4 ⁸/₂₃.


step 5 Find the decimal equivalent for the fractional part 8/23 in the above expression:
= 4 + 0.3478
= 4.3478
300/69 = 4.3478

Hence,
300/69 as a decimal is 4.3478
300/69 as a mixed number is 4 ⁸/₂₃