To divide two fractions, we can multiply the first fraction by the reciprocal of the second fraction.
First, let's find the reciprocal of 1/2. The reciprocal of a fraction is obtained by interchanging its numerator and denominator.
Reciprocal of 1/2 = 2/1 = 2
Now multiply 1/16 by 2:
1/16 * 2 = (1/16) * (2/1) = (1 * 2) / (16 * 1) = 2/16
To simplify the fraction, we can divide both numerator and denominator by their greatest common divisor (GCD), which is 2 in this case.
2/16 ÷ 2/2 = (2/16) ÷ (2/2) = (2/16) * (2/2) = (2 * 2) / (16 * 2) = 4/32
Again, simplify the fraction by dividing both numerator and denominator by their GCD, which is 4 in this case.
4/32 ÷ 4/4 = (4/32) ÷ (4/4) = (4/32) * (4/4) = (4 * 4) / (32 * 4) = 16/128
Lastly, simplify the fraction by dividing both numerator and denominator by their GCD, which is 16 in this case.
16/128 ÷ 16/16 = (16/128) ÷ (16/16) = (16/128) * (16/16) = (16 * 16) / (128 * 16) = 256/2048
The answer in simplified form is 256/2048.
To convert this fraction to a mixed number, divide the numerator (256) by the denominator (2048):
256 ÷ 2048 = 0.125
Since the numerator is smaller than the denominator, the mixed number is 0 125/1000.
However, we can simplify this mixed number further:
0 125/1000 = 0 1/8
Therefore, the given expression, 1/16 ÷ 1/2, in mixed number simplest form is 0 1/8.
Compute: 1/16 ÷1/2 . Convert the answer to a mixed number in simplest form.
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