Explain how you can find the product of 5 and 3/4.
Multiply:
(5/1) * (3/4) = 15/4 = 3 3/4
3 3\4
Once a month a fast food chain offers a special when a coach brings in a team. Buy 5 hamburgers and get one free. This month, a team goes in after their game. Each person had one hamburger. Each of the players had a soda @ $.50 each and shared an order of french fries ($.95 each order) with another teammate. The two coaches had their own french fries and coffee ($.75 each). The total bill was $34.20. How many players are on the team.
First, you want to make both nubers a fraction, so rewrite this as :
5/1 * 3/4
Then, multiply straight across on the top, which is 5 * 3, or 15
Then, multiply straight across on the bottom, which is 1 * 4, or 4.
Your answer is 15/4, but you need to make this a simplified mixed number.
If you divide 15 by 4, you get 3R3, so your final answer is 3 3/4.
To find the product of 5 and 3/4, you can use multiplication. The process involves multiplying the whole number (5) by the fraction (3/4).
Step 1: Convert the mixed number (3/4) into an improper fraction.
To convert a mixed number to an improper fraction, multiply the whole number (3) by the denominator (4) and then add the numerator (3). This gives us 3 multiplied by 4, which equals 12. Add the numerator 3 to get 15 as the new numerator. Therefore, 3/4 as an improper fraction is 15/4.
Step 2: Multiply the whole number (5) by the improper fraction (15/4).
When multiplying a whole number by a fraction, you multiply the whole number by the numerator and write the product as the new numerator. The denominator remains the same.
So, multiplying 5 by 15 gives us 75 as the new numerator. The denominator remains 4.
Step 3: Simplify the resulting fraction.
Now, we have a fraction: 75/4.
If we cannot simplify the fraction further, we can leave it as it is. Alternatively, we could express it as a mixed number.
To find the mixed number equivalent of the fraction, divide the numerator (75) by the denominator (4). The quotient (the quotient is what you get after dividing) is 18, and the remainder is 3.
So, 75/4 is equivalent to the mixed number 18 3/4.
Therefore, the product of 5 and 3/4 is 18 3/4 or 75/4.