35/3 As A Decimal And Mixed Number

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35/3 as a Decimal and Mixed Number

35/3 as a decimal and mixed number expansion provides the detailed information about what is 35/3 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.35/3 as a Decimal Expansion 35/3 = 11.6667 Hence, 35/3 as a decimal equals to 11.6667 where, 35/3 is a given fraction, The decimal expansion of 35/3 is 11.6667 35/3 as a Mixed Number 35/3 = (33 + 2)/3 = 33/3 + 2/3 = 11 + 2/3 = 11 2/3 35/3 = 11 2/3 Hence, 35/3 as a mixed number is 11 2/3 where, 35/3 is a given fraction, 11 2/3 is the mixed number representation of 35/3.

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How-to: 35/3 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 35/3 as a decimal equivalent.step 1 Address the input parameters and observe what to be found:Input values:The fraction = 35/3What to be found:Find the equivalent decimal expansion and mixed number for fraction 35/3.step 2 The numerator is greater than the denominator of the fraction 35/3, so write the given fraction in the expression form in terms of denominator as like the below: = 35/3 = 33 + 2/3 = (11 x 3) + 2/3step 3 Make the above expression as individual fractions: = (11 x 3)/3 + 2/3step 4 Simplify the above expression: = 11 x 3/3 + 2/3 = 11 + 2/3 11 + 2/3 can be written as a mixed number 11 2/3.step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression: Find how many 10s should be multiplied with both numerator and denominator of fractional part 2/3. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 2/3. = 11 + (2/3 x 10/10)step 6 Simplify the above expression further: = 11 + (20/3 x 1/10) = 11 + (18 + 2/3 x 1/10) = 11 + [(18/3 + 2/3 ) x 1/10] = 11 + [(6 + 2/3) x 1/10]step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/3 in the above expression: = 11 + [(6 + 2/3) x 1/10] = 11 + [(6 + 0.67) x 1/10] = 11 + (6.67 x 1/10) = 11 + 6.67/10 = 11 + 0.667step 8 Find the sum of above expression: = 11 + 0.667 = 11.667 35/3 = 11.667 Hence, 35/3 as a decimal is 11.667 35/3 as a mixed number is 11 2/3

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