how would u multiply two fractions
ex. 2 2/3 times 3 5/6
First, make each one an improper fraction. To do this, multiply the denominator by the whole number in front of it and then add the numerator. Put all of that on top of the denominator:
3*2=6
6+2=8
2 2/3 = 8/6 = 4/3
6*3=18
18+5=23
3 5/6 = 23/6
Now, multiply the numerators (4 and 23) together and the denominators (3 and 6). You get: 92/18 which reduces to 46/9
It is n inproper fraction, so you divid 9 from 46, right?
To multiply two fractions, you follow a few simple steps:
1. Convert any mixed fractions to improper fractions.
2. Multiply the numerators (the top numbers) together to get the new numerator.
3. Multiply the denominators (the bottom numbers) together to get the new denominator.
4. Simplify the fraction, if possible.
Let's apply these steps to the example you provided: 2 2/3 times 3 5/6.
Step 1: Convert the mixed fractions to improper fractions.
To convert 2 2/3 to an improper fraction, multiply the denominator (3) by the whole number (2) and add the numerator (2). This gives us (3 * 2) + 2 = 6 + 2 = 8. So, 2 2/3 becomes 8/3.
Similarly, to convert 3 5/6 to an improper fraction, multiply the denominator (6) by the whole number (3) and add the numerator (5). This gives us (6 * 3) + 5 = 18 + 5 = 23. So, 3 5/6 becomes 23/6.
So, the two fractions are now 8/3 and 23/6.
Step 2: Multiply the numerators.
Multiply the numerators, 8 and 23, together: 8 * 23 = 184.
Step 3: Multiply the denominators.
Multiply the denominators, 3 and 6, together: 3 * 6 = 18.
So, the new fraction is 184/18.
Step 4: Simplify the fraction.
To simplify the fraction, we can divide the numerator and denominator by their greatest common divisor, which in this case is 2.
Dividing 184 by 2 gives us 92, and dividing 18 by 2 gives us 9.
Therefore, the final simplified answer is 92/9.
So, 2 2/3 times 3 5/6 equals 92/9.