47/7 as a Decimal and Mixed Number

47/7 as a decimal and mixed number expansion provides the detailed information about what is 47/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

47/7 as a Decimal
47/7 = 6.7143
Hence,
47/7 as a decimal equals to 6.7143
where,
47/7 is a given fraction,
The decimal expansion of 47/7 is 6.7143

47/7 as a Mixed Number
47/7 = (42 + 5)/7
= 42/7 + 5/7
= 6 + 5/7
= 6 5/7
47/7 = 6 5/7

Hence,
47/7 as a mixed number is 6 ⁵/₇
where,
47/7 is a given fraction,
6 ⁵/₇ is the mixed number representation of 47/7.

The below work with steps provide the detailed information about how to convert fraction 47/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 47/7

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 47/7.

step 2 The numerator is greater than the denominator of the fraction 47/7, so write the given fraction in the expression form in terms of denominator as like the below:
= 47/7
= 42 + 5/7
= (6 x 7) + 5/7

step 3 Make the above expression as individual fractions:
= (6 x 7)/7 + 5/7

step 4 Simplify the above expression:
= 6 x 7/7 + 5/7
= 6 + 5/7
6 + 5/7 can be written as a mixed number 6 ⁵/₇.


step 5 Find the decimal equivalent for the fractional part 5/7 in the above expression:
= 6 + 0.7143
= 6.7143
47/7 = 6.7143

Hence,
47/7 as a decimal is 6.7143
47/7 as a mixed number is 6 ⁵/₇