47/28 as a decimal and mixed number expansion provides the detailed information about what is 47/28 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
47/28 as a Decimal Expansion
47/28 = 1.6786
Hence,
47/28 as a decimal equals to 1.6786
where,
47/28 is a given fraction,
The decimal expansion of 47/28 is 1.6786
47/28 as a Mixed Number
47/28 = (28 + 19)/28
= 28/28 + 19/28
= 1 + 19/28
= 1 19/28
47/28 = 1 19/28
Hence,
47/28 as a mixed number is 1 19/28
where,
47/28 is a given fraction,
1 19/28 is the mixed number representation of 47/28.
The below work with steps provide the detailed information about how to convert fraction 47/28 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 47/28
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 47/28.
step 2 The numerator is greater than the denominator of the fraction 47/28, so write the given fraction in the expression form in terms of denominator as like the below:
= 47/28
= 28 + 19/28
step 3 Make the above expression as individual fractions:
= 28/28 + 19/28
step 4 Simplify the above expression:
= 1 x 28/28 + 19/28
= 1 + 19/28
1 + 19/28 can be written as a mixed number 1 19/28.
step 5 Find the decimal equivalent for the fractional part 19/28 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 19/28. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 19/28.
= 1 + (19/28 x 10/10)
step 6 Simplify the above expression further:
= 1 + (190/28 x 1/10)
= 1 + (168 + 22/28 x 1/10)
= 1 + [(168/28 + 22/28 ) x 1/10]
= 1 + [(6 + 22/28) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 22/28 in the above expression:
= 1 + [(6 + 22/28) x 1/10]
= 1 + [(6 + 0.79) x 1/10]
= 1 + (6.79 x 1/10)
= 1 + 6.79/10
= 1 + 0.679
step 8 Find the sum of above expression:
= 1 + 0.679
= 1.679
47/28 = 1.679
Hence,
47/28 as a decimal is 1.679
47/28 as a mixed number is 1 19/28