64/7 as a Decimal and Mixed Number
64/7 as a decimal and mixed number expansion provides the detailed information about what is 64/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
64/7 as a Decimal Expansion
64/7 = 9.1429
Hence,
64/7 as a decimal equals to 9.1429
where,
64/7 is a given fraction,
The decimal expansion of 64/7 is 9.1429
64/7 as a Mixed Number
64/7 = (63 + 1)/7
= 63/7 + 1/7
= 9 + 1/7
= 9 1/7
64/7 = 9 1/7
Hence,
64/7 as a mixed number is 9 1/7
where,
64/7 is a given fraction,
9 1/7 is the mixed number representation of 64/7.
How-to: 64/7 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 64/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 64/7
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 64/7.
step 2 The numerator is greater than the denominator of the fraction 64/7, so write the given fraction in the expression form in terms of denominator as like the below:
= 64/7
= 63 + 1/7
= (9 x 7) + 1/7
step 3 Make the above expression as individual fractions:
= (9 x 7)/7 + 1/7
step 4 Simplify the above expression:
= 9 x 7/7 + 1/7
= 9 + 1/7
9 + 1/7 can be written as a mixed number 9 1/7.
step 5 Find the decimal equivalent for the fractional part 1/7 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 1/7. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 1/7.
= 9 + (1/7 x 10/10)
step 6 Simplify the above expression further:
= 9 + (10/7 x 1/10)
= 9 + (7 + 3/7 x 1/10)
= 9 + [(7/7 + 3/7 ) x 1/10]
= 9 + [(1 + 3/7) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 3/7 in the above expression:
= 9 + [(1 + 3/7) x 1/10]
= 9 + [(1 + 0.43) x 1/10]
= 9 + (1.43 x 1/10)
= 9 + 1.43/10
= 9 + 0.143
step 8 Find the sum of above expression:
= 9 + 0.143
= 9.143
64/7 = 9.143
Hence,
64/7 as a decimal is 9.143
64/7 as a mixed number is 9 1/7