2/9 divided by 5/12 =
in its simplest form please
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
2/9 ÷ 5/12
= 2/9 × 12/5
Simplifying,
= 24/45
= 8/15
Therefore, 2/9 ÷ 5/12 in its simplest form is 8/15.
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction.
To find the reciprocal, swap the numerator (top number) and denominator (bottom number) of the second fraction.
The reciprocal of 5/12 is 12/5.
Now, you can multiply the fractions:
(2/9) divided by (5/12) = (2/9) multiplied by (12/5).
Next, multiply the numerators and denominators:
(2/9) multiplied by (12/5) = (2 * 12) / (9 * 5) = 24/45.
To simplify this fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 3:
24/45 can be simplified to (24/3) / (45/3) = 8/15.
Therefore, 2/9 divided by 5/12 is equal to 8/15 when simplified.
To divide fractions, you need to follow these steps:
Step 1: Flip the second fraction
To divide two fractions, you need to multiply the first fraction by the reciprocal of the second fraction. So, we flip the second fraction, which means switching the numerator (top number) and the denominator (bottom number). In this case, the reciprocal of 5/12 is 12/5.
Step 2: Multiply the fractions
Now that you have flipped the second fraction, you can multiply the fractions together. Multiply the numerators (top numbers) together and the denominators (bottom numbers) together. In this case, the numerator would be 2 * 12 = 24, and the denominator would be 9 * 5 = 45.
Step 3: Simplify the fraction, if possible
If the resulting fraction can be simplified further, do so by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by it. In this case, 24 and 45 do not have a common divisor other than 1, so the fraction 24/45 is already in its simplest form.
Therefore, 2/9 divided by 5/12 equals 24/45, which is already in its simplest form and cannot be simplified further.