Question

4/5:2 2/3-3:3/4. 1/6-1/15

Answer 1

$\frac{4}{5}:2=\frac{4}{5*2}=\frac{2}{5*1}=\frac{2}{5}\\\frac{2}{3}-3:\frac{3}{4}=\frac{2}{3}-3*\frac{4}{3}=\frac{2}{3}-4=-3\frac{1}{3}\\\frac{1}{6}-\frac{1}{15}=\frac{5}{30}-\frac{2}{30}=\frac{5-2}{30}=\frac{3}{30}=\frac{1}{10}$

Answer 2

To solve the given expressions, let's take them one by one:

1. 4/5 : 2 To divide a fraction by a whole number, we can convert the whole number to a fraction with a denominator of 1. So, 2 becomes 2/1. Now, we can perform the division: (4/5) ÷ (2/1) = (4/5) * (1/2) = 4/10 = 2/5

2. 2/3 - 3 : 3/4 To subtract fractions, they must have the same denominator. So, let's find a common denominator for 2/3 and 3/4, which is 12. We'll convert both fractions to have a denominator of 12: 2/3 = (2/3) * (4/4) = 8/12 3/4 = (3/4) * (3/3) = 9/12

Now, we can perform the subtraction: (8/12) - (9/12) = -1/12

3. 1/6 - 1/15 To subtract fractions, they must have the same denominator. The common denominator for 1/6 and 1/15 is 30. We'll convert both fractions to have a denominator of 30: 1/6 = (1/6) * (5/5) = 5/30 1/15 = (1/15) * (2/2) = 2/30

Now, we can perform the subtraction: (5/30) - (2/30) = 3/30 = 1/10

So, the results of the given expressions are:

1. 4/5 : 2 = 2/5
2. 2/3 - 3 : 3/4 = -1/12
3. 1/6 - 1/15 = 1/10