37/17 as a Decimal and Mixed Number

37/17 as a decimal and mixed number expansion provides the detailed information about what is 37/17 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

37/17 as a Decimal
37/17 = 2.1765
Hence,
37/17 as a decimal equals to 2.1765
where,
37/17 is a given fraction,
The decimal expansion of 37/17 is 2.1765

37/17 as a Mixed Number
37/17 = (34 + 3)/17
= 34/17 + 3/17
= 2 + 3/17
= 2 3/17
37/17 = 2 3/17

Hence,
37/17 as a mixed number is 2 ³/₁₇
where,
37/17 is a given fraction,
2 ³/₁₇ is the mixed number representation of 37/17.

The below work with steps provide the detailed information about how to convert fraction 37/17 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 37/17

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 37/17.

step 2 The numerator is greater than the denominator of the fraction 37/17, so write the given fraction in the expression form in terms of denominator as like the below:
= 37/17
= 34 + 3/17
= (2 x 17) + 3/17

step 3 Make the above expression as individual fractions:
= (2 x 17)/17 + 3/17

step 4 Simplify the above expression:
= 2 x 17/17 + 3/17
= 2 + 3/17
2 + 3/17 can be written as a mixed number 2 ³/₁₇.


step 5 Find the decimal equivalent for the fractional part 3/17 in the above expression:
= 2 + 0.1765
= 2.1765
37/17 = 2.1765

Hence,
37/17 as a decimal is 2.1765
37/17 as a mixed number is 2 ³/₁₇