37/7 as a Decimal and Mixed Number

37/7 as a decimal and mixed number expansion provides the detailed information about what is 37/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

37/7 as a Decimal
37/7 = 5.2857
Hence,
37/7 as a decimal equals to 5.2857
where,
37/7 is a given fraction,
The decimal expansion of 37/7 is 5.2857

37/7 as a Mixed Number
37/7 = (35 + 2)/7
= 35/7 + 2/7
= 5 + 2/7
= 5 2/7
37/7 = 5 2/7

Hence,
37/7 as a mixed number is 5 ²/₇
where,
37/7 is a given fraction,
5 ²/₇ is the mixed number representation of 37/7.

The below work with steps provide the detailed information about how to convert fraction 37/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 37/7

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 37/7.

step 2 The numerator is greater than the denominator of the fraction 37/7, so write the given fraction in the expression form in terms of denominator as like the below:
= 37/7
= 35 + 2/7
= (5 x 7) + 2/7

step 3 Make the above expression as individual fractions:
= (5 x 7)/7 + 2/7

step 4 Simplify the above expression:
= 5 x 7/7 + 2/7
= 5 + 2/7
5 + 2/7 can be written as a mixed number 5 ²/₇.


step 5 Find the decimal equivalent for the fractional part 2/7 in the above expression:
= 5 + 0.2857
= 5.2857
37/7 = 5.2857

Hence,
37/7 as a decimal is 5.2857
37/7 as a mixed number is 5 ²/₇