1 and 5/6 ÷ 4/6 = make sure you give an explanation
Answers
Answer:
1 5/6 ÷ 4/6 = 11/4 = 2 3/4 = 2.75
Step-by-step explanation:
Conversion a mixed number 1 5/6 to a improper fraction: 1 5/6 = 1 5/6 = 1 · 6 + 5/6 = 6 + 5/6 = 11/6
To find a new numerator:
a) Multiply the whole number 1 by the denominator 6. Whole number 1 equally 1 * 6/6 = 6/6
b) Add the answer from previous step 6 to the numerator 5. New numerator is 6 + 5 = 11
c) Write a previous answer (new numerator 11) over the denominator 6.
One and five-sixths are eleven sixths
Divide: 11/6 : 4/6 = 11/6 · 6/4 = 11 · 6/6 · 4 = 66/24 = 6 · 11/6 · 4 = 11/4
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 4/6 is 6/4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, cancel by a common factor of 6 gives 11/
4
.
In words - eleven-sixths divided by four sixths = eleven quarters.