2/9 / 2/5
To divide two fractions, you need to take the reciprocal (invert) the second fraction and then multiply the two fractions.
So,
2/9 ÷ 2/5 is the same as 2/9 * 5/2.
Multiplying the numerators, 2 * 5 = 10, and multiplying the denominators, 9 * 2 = 18.
Therefore, 2/9 ÷ 2/5 is equal to 10/18 or simplified, 5/9.
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
So, to divide 2/9 by 2/5, you would multiply 2/9 by 5/2.
Step 1: Rewrite the division problem as a multiplication problem:
2/9 ÷ 2/5 = 2/9 x 5/2
Step 2: Multiply the numerators (top numbers) together:
2 x 5 = 10
Step 3: Multiply the denominators (bottom numbers) together:
9 x 2 = 18
Step 4: Write the result as a fraction:
10/18
Step 5: Simplify the fraction if possible.
In this case, both the numerator and denominator are divisible by 2. Dividing both by 2 gives:
10/18 = 5/9
So, 2/9 divided by 2/5 is equal to 5/9.
To divide two fractions, you can use the following formula:
a/b ÷ c/d = (a/b) * (d/c)
Now let's apply this formula to the given problem:
2/9 ÷ 2/5 = (2/9) * (5/2)
To simplify this expression, we can cancel out any common factors between the numerators and denominators, if there are any.
In this case, we can see that 2 can be canceled out from the numerator of the first fraction and the denominator of the second fraction:
= (1/9) * (5/1)
Now, we simply multiply the numerators together and the denominators together:
= (1 * 5) / (9 * 1)
= 5/9
Therefore, the result of 2/9 ÷ 2/5 is 5/9.