37/30 as a decimal and mixed number expansion provides the detailed information about what is 37/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
37/30 as a Decimal Expansion
37/30 = 1.2333
Hence,
37/30 as a decimal equals to 1.2333
where,
37/30 is a given fraction,
The decimal expansion of 37/30 is 1.2333
37/30 as a Mixed Number
37/30 = (30 + 7)/30
= 30/30 + 7/30
= 1 + 7/30
= 1 7/30
37/30 = 1 7/30
Hence,
37/30 as a mixed number is 1 7/30
where,
37/30 is a given fraction,
1 7/30 is the mixed number representation of 37/30.
The below work with steps provide the detailed information about how to convert fraction 37/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 37/30
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 37/30.
step 2 The numerator is greater than the denominator of the fraction 37/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 37/30
= 30 + 7/30
step 3 Make the above expression as individual fractions:
= 30/30 + 7/30
step 4 Simplify the above expression:
= 1 x 30/30 + 7/30
= 1 + 7/30
1 + 7/30 can be written as a mixed number 1 7/30.
step 5 Find the decimal equivalent for the fractional part 7/30 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/30. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/30.
= 1 + (7/30 x 100/100)
step 6 Simplify the above expression further:
= 1 + (700/30 x 1/100)
= 1 + (690 + 10/30 x 1/100)
= 1 + [(690/30 + 10/30 ) x 1/100]
= 1 + [(23 + 10/30) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 10/30 in the above expression:
= 1 + [(23 + 10/30) x 1/100]
= 1 + [(23 + 0.33) x 1/100]
= 1 + (23.33 x 1/100)
= 1 + 23.33/100
= 1 + 0.2333
step 8 Find the sum of above expression:
= 1 + 0.2333
= 1.2333
37/30 = 1.2333
Hence,
37/30 as a decimal is 1.2333
37/30 as a mixed number is 1 7/30