47/14 as a Decimal and Mixed Number
47/14 as a decimal and mixed number expansion provides the detailed information about what is 47/14 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
47/14 as a Decimal Expansion
47/14 = 3.3571
Hence,
47/14 as a decimal equals to 3.3571
where,
47/14 is a given fraction,
The decimal expansion of 47/14 is 3.3571
47/14 as a Mixed Number
47/14 = (42 + 5)/14
= 42/14 + 5/14
= 3 + 5/14
= 3 5/14
47/14 = 3 5/14
Hence,
47/14 as a mixed number is 3 5/14
where,
47/14 is a given fraction,
3 5/14 is the mixed number representation of 47/14.
How-to: 47/14 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 47/14 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 47/14
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 47/14.
step 2 The numerator is greater than the denominator of the fraction 47/14, so write the given fraction in the expression form in terms of denominator as like the below:
= 47/14
= 42 + 5/14
= (3 x 14) + 5/14
step 3 Make the above expression as individual fractions:
= (3 x 14)/14 + 5/14
step 4 Simplify the above expression:
= 3 x 14/14 + 5/14
= 3 + 5/14
3 + 5/14 can be written as a mixed number 3 5/14.
step 5 Find the decimal equivalent for the fractional part 5/14 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/14. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 5/14.
= 3 + (5/14 x 100/100)
step 6 Simplify the above expression further:
= 3 + (500/14 x 1/100)
= 3 + (490 + 10/14 x 1/100)
= 3 + [(490/14 + 10/14 ) x 1/100]
= 3 + [(35 + 10/14) x 1/100]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 10/14 in the above expression:
= 3 + [(35 + 10/14) x 1/100]
= 3 + [(35 + 0.71) x 1/100]
= 3 + (35.71 x 1/100)
= 3 + 35.71/100
= 3 + 0.3571
step 8 Find the sum of above expression:
= 3 + 0.3571
= 3.3571
47/14 = 3.3571
Hence,
47/14 as a decimal is 3.3571
47/14 as a mixed number is 3 5/14