99/7 as a Decimal and Mixed Number
99/7 as a decimal and mixed number expansion provides the detailed information about what is 99/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
99/7 as a Decimal Expansion
99/7 = 14.1429
Hence,
99/7 as a decimal equals to 14.1429
where,
99/7 is a given fraction,
The decimal expansion of 99/7 is 14.1429
99/7 as a Mixed Number
99/7 = (98 + 1)/7
= 98/7 + 1/7
= 14 + 1/7
= 14 1/7
99/7 = 14 1/7
Hence,
99/7 as a mixed number is 14 1/7
where,
99/7 is a given fraction,
14 1/7 is the mixed number representation of 99/7.
How-to: 99/7 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 99/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 99/7
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 99/7.
step 2 The numerator is greater than the denominator of the fraction 99/7, so write the given fraction in the expression form in terms of denominator as like the below:
= 99/7
= 98 + 1/7
= (14 x 7) + 1/7
step 3 Make the above expression as individual fractions:
= (14 x 7)/7 + 1/7
step 4 Simplify the above expression:
= 14 x 7/7 + 1/7
= 14 + 1/7
14 + 1/7 can be written as a mixed number 14 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.
= 14 + (1/7 x 10/10)
step 6 Simplify the above expression further:
= 14 + (10/7 x 1/10)
= 14 + (7 + 3/7 x 1/10)
= 14 + [(7/7 + 3/7 ) x 1/10]
= 14 + [(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:
= 14 + [(1 + 3/7) x 1/10]
= 14 + [(1 + 0.43) x 1/10]
= 14 + (1.43 x 1/10)
= 14 + 1.43/10
= 14 + 0.143
step 8 Find the sum of above expression:
= 14 + 0.143
= 14.143
99/7 = 14.143
Hence,
99/7 as a decimal is 14.143
99/7 as a mixed number is 14 1/7