52/7 as a Decimal and Mixed Number

52/7 as a decimal and mixed number expansion provides the detailed information about what is 52/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

52/7 as a Decimal
52/7 = 7.4286
Hence,
52/7 as a decimal equals to 7.4286
where,
52/7 is a given fraction,
The decimal expansion of 52/7 is 7.4286

52/7 as a Mixed Number
52/7 = (49 + 3)/7
= 49/7 + 3/7
= 7 + 3/7
= 7 3/7
52/7 = 7 3/7

Hence,
52/7 as a mixed number is 7 ³/₇
where,
52/7 is a given fraction,
7 ³/₇ is the mixed number representation of 52/7.

The below work with steps provide the detailed information about how to convert fraction 52/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 52/7

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 52/7.

step 2 The numerator is greater than the denominator of the fraction 52/7, so write the given fraction in the expression form in terms of denominator as like the below:
= 52/7
= 49 + 3/7
= (7 x 7) + 3/7

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

step 4 Simplify the above expression:
= 7 x 7/7 + 3/7
= 7 + 3/7
7 + 3/7 can be written as a mixed number 7 ³/₇.


step 5 Find the decimal equivalent for the fractional part 3/7 in the above expression:
= 7 + 0.4286
= 7.4286
52/7 = 7.4286

Hence,
52/7 as a decimal is 7.4286
52/7 as a mixed number is 7 ³/₇