43/30 as a decimal and mixed number expansion provides the detailed information about what is 43/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
43/30 as a Decimal Expansion
43/30 = 1.4333
Hence,
43/30 as a decimal equals to 1.4333
where,
43/30 is a given fraction,
The decimal expansion of 43/30 is 1.4333
43/30 as a Mixed Number
43/30 = (30 + 13)/30
= 30/30 + 13/30
= 1 + 13/30
= 1 13/30
43/30 = 1 13/30
Hence,
43/30 as a mixed number is 1 13/30
where,
43/30 is a given fraction,
1 13/30 is the mixed number representation of 43/30.
The below work with steps provide the detailed information about how to convert fraction 43/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 43/30
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 43/30.
step 2 The numerator is greater than the denominator of the fraction 43/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 43/30
= 30 + 13/30
step 3 Make the above expression as individual fractions:
= 30/30 + 13/30
step 4 Simplify the above expression:
= 1 x 30/30 + 13/30
= 1 + 13/30
1 + 13/30 can be written as a mixed number 1 13/30.
step 5 Find the decimal equivalent for the fractional part 13/30 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 13/30. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 13/30.
= 1 + (13/30 x 10/10)
step 6 Simplify the above expression further:
= 1 + (130/30 x 1/10)
= 1 + (120 + 10/30 x 1/10)
= 1 + [(120/30 + 10/30 ) x 1/10]
= 1 + [(4 + 10/30) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 10/30 in the above expression:
= 1 + [(4 + 10/30) x 1/10]
= 1 + [(4 + 0.33) x 1/10]
= 1 + (4.33 x 1/10)
= 1 + 4.33/10
= 1 + 0.433
step 8 Find the sum of above expression:
= 1 + 0.433
= 1.433
43/30 = 1.433
Hence,
43/30 as a decimal is 1.433
43/30 as a mixed number is 1 13/30