80/7 as a Decimal and Mixed Number
80/7 as a decimal and mixed number expansion provides the detailed information about what is 80/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
80/7 as a Decimal Expansion
80/7 = 11.4286
Hence,
80/7 as a decimal equals to 11.4286
where,
80/7 is a given fraction,
The decimal expansion of 80/7 is 11.4286
80/7 as a Mixed Number
80/7 = (77 + 3)/7
= 77/7 + 3/7
= 11 + 3/7
= 11 3/7
80/7 = 11 3/7
Hence,
80/7 as a mixed number is 11 3/7
where,
80/7 is a given fraction,
11 3/7 is the mixed number representation of 80/7.
How-to: 80/7 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 80/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 80/7
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 80/7.
step 2 The numerator is greater than the denominator of the fraction 80/7, so write the given fraction in the expression form in terms of denominator as like the below:
= 80/7
= 77 + 3/7
= (11 x 7) + 3/7
step 3 Make the above expression as individual fractions:
= (11 x 7)/7 + 3/7
step 4 Simplify the above expression:
= 11 x 7/7 + 3/7
= 11 + 3/7
11 + 3/7 can be written as a mixed number 11 3/7.
step 5 Find the decimal equivalent for the fractional part 3/7 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 3/7. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 3/7.
= 11 + (3/7 x 10/10)
step 6 Simplify the above expression further:
= 11 + (30/7 x 1/10)
= 11 + (28 + 2/7 x 1/10)
= 11 + [(28/7 + 2/7 ) x 1/10]
= 11 + [(4 + 2/7) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/7 in the above expression:
= 11 + [(4 + 2/7) x 1/10]
= 11 + [(4 + 0.29) x 1/10]
= 11 + (4.29 x 1/10)
= 11 + 4.29/10
= 11 + 0.429
step 8 Find the sum of above expression:
= 11 + 0.429
= 11.429
80/7 = 11.429
Hence,
80/7 as a decimal is 11.429
80/7 as a mixed number is 11 3/7