3 3/7*2 7/12
(24/7) * (31/12) = ?
Okay first make them improper. You do this by multiplying the denominator with the whole number and then you add it with the numerator. So:
3 3/7= 3x7=21+3=24. . .24/7
2 7/12= 2x12=24+7=31. . .31/12
Now find a common denominator. This means you must find a number that the denominators 7 and 12 share. 84 is the denominator this time because I multiplied 7 and 12 to get the it. Whatever you do to the bottom you do to the top. Sooooo, 24/7 becomes 288/84 and 31/12 becomes 217/84.
Now, to add this but only the numerators.
288+217=505
505/84:::Divide them both by a reasonable number. If you can't divide it (like right now) then make it into a mixed number. You make an improper into a mixed by seeing how many times 505 goes inside 84. 6 1/84 is your final answer!
~Derpy Pegasus~
I got 8 6/7
(24/7) * (31/12) = 744/84 = 8.857 = 8 6/7
You're right, Ash! :-)
To multiply mixed fractions like 3 3/7 and 2 7/12, you can follow these steps:
Step 1: Convert the mixed fractions into improper fractions.
To convert a mixed fraction to an improper fraction, you multiply the whole number by the denominator and add the numerator. The result becomes the new numerator, and the denominator remains the same.
For 3 3/7:
3 * 7 + 3 = 21 + 3 = 24
So, 3 3/7 as an improper fraction is 24/7.
For 2 7/12:
2 * 12 + 7 = 24 + 7 = 31
So, 2 7/12 as an improper fraction is 31/12.
Step 2: Multiply the two improper fractions.
To multiply fractions, you simply multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.
24/7 * 31/12 = (24 * 31) / (7 * 12) = 744 / 84
Step 3: Simplify the fraction, if possible.
To simplify a fraction, you can divide both the numerator and denominator by their greatest common divisor (GCD).
The GCD of 744 and 84 is 12.
So, 744/84 simplified is (744 ÷ 12) / (84 ÷ 12) = 62/7
Therefore, 3 3/7 multiplied by 2 7/12 is equal to 62/7.
Note: The final result can also be expressed as a mixed fraction, which would be 8 6/7 when divided.