How does dividing mixed numbers compare with dividing fractions?
math is easy but this one
it's the same thing, if you express each mixed number as a fraction.
Dividing mixed numbers is similar to dividing fractions, but there is an additional step involved in dividing mixed numbers.
To divide fractions, you follow these steps:
1. Keep the first fraction as it is.
2. Flip the second fraction (i.e., take its reciprocal).
3. Multiply the first fraction by the reciprocal of the second fraction.
4. Simplify the resulting fraction if possible.
To divide mixed numbers, you need to follow these additional steps:
1. Convert the mixed numbers into improper fractions.
2. Follow the steps for dividing fractions as mentioned above.
3. Convert the resulting fraction back into a mixed number if needed.
So, dividing mixed numbers involves converting them into improper fractions, dividing the fractions, and then converting the result back into a mixed number if necessary.
Dividing mixed numbers is similar to dividing fractions, but with an extra step. When dividing fractions, you only need to remember one rule: invert the second fraction and multiply. However, when dividing mixed numbers, you need to convert them into improper fractions before performing the division.
Here's an example to illustrate the difference:
Dividing fractions:
Let's say you have the problem: 2/3 ÷ 4/5.
To solve this, you would invert the second fraction (the divisor) and multiply:
2/3 ÷ 4/5 = 2/3 * 5/4 = (2 * 5) / (3 * 4) = 10/12.
Dividing mixed numbers:
Now let's say you have the problem: 1 2/3 ÷ 2 1/4.
First, you need to convert the mixed numbers into improper fractions.
1 2/3 = (1 * 3 + 2) / 3 = 5/3
2 1/4 = (2 * 4 + 1) / 4 = 9/4.
Now, you can proceed with the division by inverting the second fraction and multiplying:
5/3 ÷ 9/4 = 5/3 * 4/9 = (5 * 4) / (3 * 9) = 20/27.
So, dividing mixed numbers requires the additional step of converting them into improper fractions before performing the division.