give 2 examples of mixed numbers that when multiplied by 3/4 give a product between 3/4 and 1.
my mom knows what numbers to use but isn't sure how to explain to me how to calculate them. Can you explain to me the way to calculate the answer?
Thank you
since
3/4 * 1 = 3/4
3/4 * 4/3 = 1
multiplying 3/4 by any number between 1 and 4/3 will work.
Or, a little more formally,
3/4 <= (3/4) x <= 1
1 <= x <= 4/3
It is 1 and 4/3 since 3/4*1 =3/4
3/4*4/3=12/12=1
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Mom
To find mixed numbers that, when multiplied by 3/4, give a product between 3/4 and 1, you can follow these steps:
1. Start with a mixed number in the form of a whole number and a fraction. For example, let's start with 1 1/2.
2. Express the mixed number as an improper fraction. To do this, multiply the whole number by the denominator of the fraction and add the numerator. For 1 1/2, the improper fraction is calculated as (1 * 2) + 1 = 3/2.
3. Multiply the improper fraction by 3/4. Multiply the numerators together (3 * 3), and multiply the denominators together (2 * 4). This gives us (3 * 3) / (2 * 4) = 9/8.
4. Convert the product back to a mixed number if necessary. Dividing the numerator (9) by the denominator (8), we get 1 with a remainder of 1. Therefore, the mixed number is 1 1/8.
Repeat the above steps with another mixed number to find a second example. For instance:
1. Let's use the mixed number 2 3/4.
2. Express 2 3/4 as an improper fraction: (2 * 4) + 3 = 11/4.
3. Multiply the improper fraction by 3/4: (11 * 3) / (4 * 4) = 33/16.
4. The mixed number is 2 with a remainder of 1/16, so the second example is 2 1/16.
Therefore, the two examples of mixed numbers that, when multiplied by 3/4, give a product between 3/4 and 1 are 1 1/8 and 2 1/16.