240/7 as a Decimal and Mixed Number

240/7 as a decimal and mixed number expansion provides the detailed information about what is 240/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

240/7 as a Decimal
240/7 = 34.2857
Hence,
240/7 as a decimal equals to 34.2857
where,
240/7 is a given fraction,
The decimal expansion of 240/7 is 34.2857

240/7 as a Mixed Number
240/7 = (238 + 2)/7
= 238/7 + 2/7
= 34 + 2/7
= 34 2/7
240/7 = 34 2/7

Hence,
240/7 as a mixed number is 34 ²/₇
where,
240/7 is a given fraction,
34 ²/₇ is the mixed number representation of 240/7.

The below work with steps provide the detailed information about how to convert fraction 240/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 240/7

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 240/7.

step 2 The numerator is greater than the denominator of the fraction 240/7, so write the given fraction in the expression form in terms of denominator as like the below:
= 240/7
= 238 + 2/7
= (34 x 7) + 2/7

step 3 Make the above expression as individual fractions:
= (34 x 7)/7 + 2/7

step 4 Simplify the above expression:
= 34 x 7/7 + 2/7
= 34 + 2/7
34 + 2/7 can be written as a mixed number 34 ²/₇.


step 5 Find the decimal equivalent for the fractional part 2/7 in the above expression:
= 34 + 0.2857
= 34.2857
240/7 = 34.2857

Hence,
240/7 as a decimal is 34.2857
240/7 as a mixed number is 34 ²/₇