37/34 as a Decimal and Mixed Number

37/34 as a decimal and mixed number expansion provides the detailed information about what is 37/34 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

37/34 as a Decimal
37/34 = 1.0882
Hence,
37/34 as a decimal equals to 1.0882
where,
37/34 is a given fraction,
The decimal expansion of 37/34 is 1.0882

37/34 as a Mixed Number
37/34 = (34 + 3)/34
= 34/34 + 3/34
= 1 + 3/34
= 1 3/34
37/34 = 1 3/34

Hence,
37/34 as a mixed number is 1 ³/₃₄
where,
37/34 is a given fraction,
1 ³/₃₄ is the mixed number representation of 37/34.

The below work with steps provide the detailed information about how to convert fraction 37/34 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 37/34

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 37/34.

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

step 3 Make the above expression as individual fractions:
= 34/34 + 3/34

step 4 Simplify the above expression:
= 1 x 34/34 + 3/34
= 1 + 3/34
1 + 3/34 can be written as a mixed number 1 ³/₃₄.


step 5 Find the decimal equivalent for the fractional part 3/34 in the above expression:
= 1 + 0.0882
= 1.0882
37/34 = 1.0882

Hence,
37/34 as a decimal is 1.0882
37/34 as a mixed number is 1 ³/₃₄