37/3 as a Decimal and Mixed Number
37/3 as a decimal and mixed number expansion provides the detailed information about what is 37/3 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
37/3 as a Decimal Expansion
37/3 = 12.3333
Hence,
37/3 as a decimal equals to 12.3333
where,
37/3 is a given fraction,
The decimal expansion of 37/3 is 12.3333
37/3 as a Mixed Number
37/3 = (36 + 1)/3
= 36/3 + 1/3
= 12 + 1/3
= 12 1/3
37/3 = 12 1/3
Hence,
37/3 as a mixed number is 12 1/3
where,
37/3 is a given fraction,
12 1/3 is the mixed number representation of 37/3.
How-to: 37/3 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 37/3 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 37/3
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 37/3.
step 2 The numerator is greater than the denominator of the fraction 37/3, so write the given fraction in the expression form in terms of denominator as like the below:
= 37/3
= 36 + 1/3
= (12 x 3) + 1/3
step 3 Make the above expression as individual fractions:
= (12 x 3)/3 + 1/3
step 4 Simplify the above expression:
= 12 x 3/3 + 1/3
= 12 + 1/3
12 + 1/3 can be written as a mixed number 12 1/3.
step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/3. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/3.
= 12 + (1/3 x 10/10)
step 6 Simplify the above expression further:
= 12 + (10/3 x 1/10)
= 12 + (9 + 1/3 x 1/10)
= 12 + [(9/3 + 1/3 ) x 1/10]
= 12 + [(3 + 1/3) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/3 in the above expression:
= 12 + [(3 + 1/3) x 1/10]
= 12 + [(3 + 0.33) x 1/10]
= 12 + (3.33 x 1/10)
= 12 + 3.33/10
= 12 + 0.333
step 8 Find the sum of above expression:
= 12 + 0.333
= 12.333
37/3 = 12.333
Hence,
37/3 as a decimal is 12.333
37/3 as a mixed number is 12 1/3