Calculating 36 x 3/4 gives you the result of 27.
To find 36 multiplied by 3/4 mentally, you can follow these steps:
1. Simplify the fraction: 3/4 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1 in this case.
This simplification leaves us with 3/4 as the fraction.
2. Convert the whole number to a fraction:
Since 36 is a whole number, we can rewrite it as a fraction with a denominator of 1. So, 36 can be expressed as 36/1.
3. Multiply the numerators: Multiply the numerators of the fractions together: 36 x 3 = 108.
4. Multiply the denominators: Multiply the denominators of the fractions together: 1 x 4 = 4.
5. Write the result as a fraction: Take the product of the numerators and write it over the product of the denominators: 108/4.
6. Simplify the fraction if possible: Divide both the numerator and the denominator of the fraction by their greatest common divisor, which is 4 in this case. Simplifying the fraction gives us 27/1 or simply 27.
Therefore, mentally calculating 36 x 3/4 gives you the result of 27.
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The product of 1/2 multiplied by 1/2 is 1/4, which is less than 1/2. Therefore, when 1/2 is multiplied by 1/2, the result is not greater than 1/2.
When multiplying fractions, we multiply the numerators (the top numbers) to get the new numerator and the denominators (the bottom numbers) to get the new denominator. In this case, when we multiply 1/2 by 1/2, we multiply 1 (numerator) by 1 (numerator) to get 1 as the new numerator and 2 (denominator) by 2 (denominator) to get 4 as the new denominator. So, 1/2 times 1/2 equals 1/4.
When comparing 1/4 and 1/2, we can easily see that 1/4 is less than 1/2. Hence, the product of 1/2 times 1/2 is not greater than 1/2 - it is, in fact, less than 1/2. So, the answer is no.
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