7/3 As A Decimal And Mixed Number

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7/3 as a Decimal and Mixed Number

7/3 as a decimal and mixed number expansion provides the detailed information about what is 7/3 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.7/3 as a Decimal Expansion 7/3 = 2.3333 Hence, 7/3 as a decimal equals to 2.3333 where, 7/3 is a given fraction, The decimal expansion of 7/3 is 2.3333 7/3 as a Mixed Number 7/3 = (6 + 1)/3 = 6/3 + 1/3 = 2 + 1/3 = 2 1/3 7/3 = 2 1/3 Hence, 7/3 as a mixed number is 2 1/3 where, 7/3 is a given fraction, 2 1/3 is the mixed number representation of 7/3.

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How-to: 7/3 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 7/3 as a decimal equivalent.step 1 Address the input parameters and observe what to be found:Input values:The fraction = 7/3What to be found:Find the equivalent decimal expansion and mixed number for fraction 7/3.step 2 The numerator is greater than the denominator of the fraction 7/3, so write the given fraction in the expression form in terms of denominator as like the below: = 7/3 = 6 + 1/3 = (2 x 3) + 1/3step 3 Make the above expression as individual fractions: = (2 x 3)/3 + 1/3step 4 Simplify the above expression: = 2 x 3/3 + 1/3 = 2 + 1/3 2 + 1/3 can be written as a mixed number 2 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. = 2 + (1/3 x 10/10)step 6 Simplify the above expression further: = 2 + (10/3 x 1/10) = 2 + (9 + 1/3 x 1/10) = 2 + [(9/3 + 1/3 ) x 1/10] = 2 + [(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: = 2 + [(3 + 1/3) x 1/10] = 2 + [(3 + 0.33) x 1/10] = 2 + (3.33 x 1/10) = 2 + 3.33/10 = 2 + 0.333step 8 Find the sum of above expression: = 2 + 0.333 = 2.333 7/3 = 2.333 Hence, 7/3 as a decimal is 2.333 7/3 as a mixed number is 2 1/3

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