4/9 divided by 1/4 in its simplest form
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To divide fractions, you need to follow these steps:
Step 1: Flip the second fraction (the divisor) and turn it into its reciprocal. In this case, you need to flip 1/4 to get 4/1.
Step 2: Multiply the first fraction (the dividend) by the reciprocal of the second fraction. So, the calculation becomes 4/9 multiplied by 4/1.
Step 3: Multiply the numerators (the top numbers) and the denominators (the bottom numbers) separately. In this case, you get 4 x 4 for the numerator and 9 x 1 for the denominator.
Step 4: Simplify the fraction. If possible, find the greatest common divisor (GCD) of the numerator and the denominator. Then, divide both the numerator and denominator by their GCD to get the simplest form.
Now, let's calculate it step by step:
Step 1: Flip 1/4 to get the reciprocal, which is 4/1.
Step 2: Multiply 4/9 by 4/1. This becomes (4/9) * (4/1) = (4 * 4) / (9 * 1).
Step 3: Multiply the numerators and denominators: 16 / 9.
Step 4: The fraction 16/9 cannot be simplified further because there is no common factor between 16 and 9.
Therefore, 4/9 divided by 1/4, in its simplest form, is 16/9.
Better review how to divide fractions
(4/9) ÷ (1/4)
= (4/9)*(4/1)
= .....