11/7 as a Decimal and Mixed Number
11/7 as a decimal and mixed number expansion provides the detailed information about what is 11/7 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
11/7 as a Decimal Expansion
11/7 = 1.5714
Hence,
11/7 as a decimal equals to 1.5714
where,
11/7 is a given fraction,
The decimal expansion of 11/7 is 1.5714
11/7 as a Mixed Number
11/7 = (7 + 4)/7
= 7/7 + 4/7
= 1 + 4/7
= 1 4/7
11/7 = 1 4/7
Hence,
11/7 as a mixed number is 1 4/7
where,
11/7 is a given fraction,
1 4/7 is the mixed number representation of 11/7.
How-to: 11/7 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 11/7 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 11/7
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 11/7.
step 2 The numerator is greater than the denominator of the fraction 11/7, so write the given fraction in the expression form in terms of denominator as like the below:
= 11/7
= 7 + 4/7
step 3 Make the above expression as individual fractions:
= 7/7 + 4/7
step 4 Simplify the above expression:
= 1 x 7/7 + 4/7
= 1 + 4/7
1 + 4/7 can be written as a mixed number 1 4/7.
step 5 Find the decimal equivalent for the fractional part 4/7 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 4/7. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 4/7.
= 1 + (4/7 x 10/10)
step 6 Simplify the above expression further:
= 1 + (40/7 x 1/10)
= 1 + (35 + 5/7 x 1/10)
= 1 + [(35/7 + 5/7 ) x 1/10]
= 1 + [(5 + 5/7) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 5/7 in the above expression:
= 1 + [(5 + 5/7) x 1/10]
= 1 + [(5 + 0.71) x 1/10]
= 1 + (5.71 x 1/10)
= 1 + 5.71/10
= 1 + 0.571
step 8 Find the sum of above expression:
= 1 + 0.571
= 1.571
11/7 = 1.571
Hence,
11/7 as a decimal is 1.571
11/7 as a mixed number is 1 4/7