71/4 as a Decimal and Mixed Number
71/4 as a decimal and mixed number expansion provides the detailed information about what is 71/4 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
71/4 as a Decimal Expansion
71/4 = 17.75
Hence,
71/4 as a decimal equals to 17.75
where,
71/4 is a given fraction,
The decimal expansion of 71/4 is 17.75
71/4 as a Mixed Number
71/4 = (68 + 3)/4
= 68/4 + 3/4
= 17 + 3/4
= 17 3/4
71/4 = 17 3/4
Hence,
71/4 as a mixed number is 17 3/4
where,
71/4 is a given fraction,
17 3/4 is the mixed number representation of 71/4.
How-to: 71/4 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 71/4 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 71/4
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 71/4.
step 2 The numerator is greater than the denominator of the fraction 71/4, so write the given fraction in the expression form in terms of denominator as like the below:
= 71/4
= 68 + 3/4
= (17 x 4) + 3/4
step 3 Make the above expression as individual fractions:
= (17 x 4)/4 + 3/4
step 4 Simplify the above expression:
= 17 x 4/4 + 3/4
= 17 + 3/4
17 + 3/4 can be written as a mixed number 17 3/4.
step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 3/4. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 3/4.
= 17 + (3/4 x 10/10)
step 6 Simplify the above expression further:
= 17 + (30/4 x 1/10)
= 17 + (28 + 2/4 x 1/10)
= 17 + [(28/4 + 2/4 ) x 1/10]
= 17 + [(7 + 2/4) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/4 in the above expression:
= 17 + [(7 + 2/4) x 1/10]
= 17 + [(7 + 0.5) x 1/10]
= 17 + (7.5 x 1/10)
= 17 + 7.5/10
= 17 + 0.75
step 8 Find the sum of above expression:
= 17 + 0.75
= 17.75
71/4 = 17.75
Hence,
71/4 as a decimal is 17.75
71/4 as a mixed number is 17 3/4