give 2 examples of mixed numbers that when multiplied by 3/4 give a product between 3/4 and 1 PLEASE HELP ME AND QUICK I HAVE A LOT DUE TOMORROW!!!!!
1 1/10
1 1/5
To find two examples of mixed numbers that, when multiplied by 3/4, give a product between 3/4 and 1, we can follow these steps:
Step 1: Create a mixed number
Choose a whole number and a proper fraction. Let's start with 1 whole and 1/2.
Step 2: Multiply the mixed number by 3/4
To find the product, multiply the whole number and the numerator of the fraction by 3. Then multiply the denominator by 4.
(1 1/2) * (3/4)
1 * 3 + (1/2) * 3 / 4
3 + 3/2 / 4
This gives us 9/2 divided by 4, which can also be written as 9/2 * 1/4.
To divide fractions, we can multiply the first fraction by the reciprocal of the second one:
9/2 * 1/4 = 9/2 * 1/4 * 2/2
Multiplying the numerators (9 * 1) and the denominators (2 * 4), we get:
9/2 * 1/4 * 2/2 = 18/16
Simplifying 18/16, we find the mixed number:
18/16 = 1 2/16
So the mixed number 1 1/2, when multiplied by 3/4, results in a product of 1 2/16.
Now let's try another example.
Step 1: Create a mixed number
Let's use 2 whole and 3/4.
Step 2: Multiply the mixed number by 3/4
(2 3/4) * (3/4)
2 * 3 + (3/4) * 3 / 4
6 + 9/4 / 4
This gives us 24/4 + 9/4 / 4, which can also be written as 33/4 divided by 4, or 33/4 * 1/4.
Multiplying the numerators (33 * 1) and the denominators (4 * 4), we get:
33/4 * 1/4 * 4/4 = 132/16
Simplifying 132/16, we find the mixed number:
132/16 = 8 4/16
So the mixed number 2 3/4, when multiplied by 3/4, results in a product of 8 4/16.
Therefore, the two examples of mixed numbers that, when multiplied by 3/4, give a product between 3/4 and 1 are:
- 1 1/2, which results in a product of 1 2/16
- 2 3/4, which results in a product of 8 4/16