Read the sentence below and identify the theme of the sentence. Type your answer in the space provided.
Marriage offers a multitude of benefits that extend beyond the confines of a romantic relationship.
The theme of the sentence is the benefits of marriage.
Macey wants to buy gifts for her mom and brother. She decides to spend 1/2 of the money she has on her mom and 1/3 of the money she has on her brother. What fractional portion of her money does she have left after purchasing the two gifts?(1 point)
To solve this problem, we need to find a common denominator for 2 and 3, which is 6.
Macey spends 1/2 of her money on her mom, so she has 6/6 - 3/6 = 3/6 of her money left.
Then Macey spends 1/3 of her remaining money on her brother, so she has 3/6 - 2/6 = 1/6 of her money left.
Therefore, Macey has 1/6 of her money left after purchasing the two gifts.
Skyler is making cookies to donate to the bake sale at his local grocery store. He makes 2/3 of the cookies on a given night and has only enough time to decorate 1/4 of them. What is the fractional portion remaining that he still needs to decorate?(1 point)
To find the fractional portion that Skyler still needs to decorate, we need to subtract the fraction of cookies he has already decorated from the fraction of cookies he has made.
Skyler has decorated 1/4 of the cookies he made, so he still needs to decorate 2/3 - 1/4 of the cookies.
To subtract these fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12.
Converting the fractions to have a common denominator of 12, we have:
2/3 = 8/12
1/4 = 3/12
Subtracting the fractions, we have:
8/12 - 3/12 = 5/12
Therefore, the fractional portion remaining that Skyler still needs to decorate is 5/12.
Your neighborhood would like to raise funds to update the equipment in the neighborhood park. They hold a bake sale and raise 3/8 of the desired funds and then have a neighborhood yard sale and raise another 1/4 . What is the total fractional amount of the desired funds they have raised?(1 point)
To find the total fractional amount of the desired funds they have raised, we need to add the fractions obtained from the bake sale and the neighborhood yard sale.
The neighborhood raised 3/8 of the desired funds from the bake sale and 1/4 from the yard sale.
To add these fractions, we need to find a common denominator. The least common multiple of 8 and 4 is 8.
Converting the fractions to have a common denominator of 8, we have:
3/8 = 3/8
1/4 = 2/8
Adding the fractions, we have:
3/8 + 2/8 = 5/8
Therefore, the total fractional amount of the desired funds they have raised is 5/8.