hi to all of you teachers i hope you will help me to get the answers for this question below.. and thanks god bless you.
Perk spent 1/4 of his money on a food and another 3/10 of his money on a drink.
a. What fraction of his money did he spend in total?
b. What fraction of Perk’s money was left?
1/4 + 3/10 = 5/20 + 6/20 = 11/20
20/20 - 11/20 = ?
I GOT THE SAME ANSWER TOO
Hello! I would be happy to help you solve these questions. To find the answers, we'll need to understand how to work with fractions and calculate the amounts Perk spent and what was left.
a. To determine the fraction of Perk's money that he spent in total, we need to find the combined fraction of money he spent on food and drinks.
Perk spent 1/4 of his money on food, which can be written as 1/4.
Perk also spent 3/10 of his money on drinks, which can be written as 3/10.
To find the total fraction, we need to add these fractions together. To add fractions, we need a common denominator. In this case, the least common multiple (LCM) of 4 and 10 is 20.
Now, we can rewrite the fractions with the common denominator:
1/4 = 5/20 (multiplying the numerator and denominator by 5)
3/10 = 6/20 (multiplying the numerator and denominator by 2)
Adding these fractions together, we have:
5/20 + 6/20 = 11/20
Therefore, Perk spent 11/20 of his money in total.
b. To determine the fraction of Perk's money that was left, we need to subtract the fraction he spent from 1 (since the remaining fraction represents what was left).
We found earlier that Perk spent 11/20 of his money, so to find what was left, we subtract that fraction from 1:
1 - 11/20
To subtract fractions, we need a common denominator. The LCM of 20 and 20 is 20.
1 can be written as the fraction 20/20.
20/20 - 11/20 = 9/20
Therefore, the fraction of Perk's money that was left is 9/20.
I hope this explanation helps! Let me know if you have any other questions.