43/36 as a decimal and mixed number expansion provides the detailed information about what is 43/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
43/36 as a Decimal Expansion
43/36 = 1.1944
Hence,
43/36 as a decimal equals to 1.1944
where,
43/36 is a given fraction,
The decimal expansion of 43/36 is 1.1944
43/36 as a Mixed Number
43/36 = (36 + 7)/36
= 36/36 + 7/36
= 1 + 7/36
= 1 7/36
43/36 = 1 7/36
Hence,
43/36 as a mixed number is 1 7/36
where,
43/36 is a given fraction,
1 7/36 is the mixed number representation of 43/36.
The below work with steps provide the detailed information about how to convert fraction 43/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 43/36
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 43/36.
step 2 The numerator is greater than the denominator of the fraction 43/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 43/36
= 36 + 7/36
step 3 Make the above expression as individual fractions:
= 36/36 + 7/36
step 4 Simplify the above expression:
= 1 x 36/36 + 7/36
= 1 + 7/36
1 + 7/36 can be written as a mixed number 1 7/36.
step 5 Find the decimal equivalent for the fractional part 7/36 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/36. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 7/36.
= 1 + (7/36 x 100/100)
step 6 Simplify the above expression further:
= 1 + (700/36 x 1/100)
= 1 + (684 + 16/36 x 1/100)
= 1 + [(684/36 + 16/36 ) x 1/100]
= 1 + [(19 + 16/36) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 16/36 in the above expression:
= 1 + [(19 + 16/36) x 1/100]
= 1 + [(19 + 0.44) x 1/100]
= 1 + (19.44 x 1/100)
= 1 + 19.44/100
= 1 + 0.1944
step 8 Find the sum of above expression:
= 1 + 0.1944
= 1.1944
43/36 = 1.1944
Hence,
43/36 as a decimal is 1.1944
43/36 as a mixed number is 1 7/36