📘 arithmetic

1. **Problem:** Compare the fractions $\frac{2}{5}$ and $\frac{3}{10}$. **Step 1:** Find a common denominator. The denominators are 5 and 10. The least common denominator (LCD) is

1. The problem is to set up the division of 25 by 3. 2. Division is represented as $\frac{\text{numerator}}{\text{denominator}}$ or using the division symbol $\div$.

1. Let's understand the problem: You have 3 cups of cereal, 2 cups of peanuts, and 1 cup of raisins. 2. The total mix is the sum of all these cups combined.

1. **State the problem:** Multiply the mixed numbers $2 \frac{1}{2}$ and $3 \frac{1}{3}$. 2. **Convert mixed numbers to improper fractions:**

1. Problem: Dividiere das Produkt aus 70 und 8 durch 2. 2. Formel: \(\text{Division} = \frac{\text{Produkt}}{\text{Divisor}}\)

1. The problem is to simplify the fraction $\frac{846}{9}$.\n\n2. The formula for division of two numbers is $\frac{a}{b} = c$ where $c$ is the quotient when $a$ is divided by $b$.

1. **State the problem:** Calculate the sum of 1 and 1. 2. **Formula used:** Addition of two numbers is given by $a + b$.

Let's solve this step by step! 🎉 **Step 1:** Look at the first big fraction: $$\frac{3-2}{4-5- (0.83 + 0.05)}$$

1. **State the problem:** We need to calculate the difference between 1951.6 and 63.7. 2. **Write the subtraction expression:**

1. **State the problem:** Evaluate the expression $\left(4 \frac{1}{2} + 5 \cdot \frac{1}{4} - 1 \frac{1}{2}\right) : 3$. 2. **Convert mixed numbers to improper fractions:**

1. The problem is to evaluate the expression $9$. 2. Since $9$ is a single number and not an operation, the value is simply $9$.

1. The problem involves converting fractions to decimals and mixed numbers to decimals. 2. For each fraction, we use the formula for decimal conversion: $$\text{Decimal} = \frac{\t

1. The problem is to verify the equation $5 + 5 = 10$. 2. The formula used here is simple addition: $a + b = c$ where $a$, $b$, and $c$ are numbers.

1. The problem is unclear as stated, but it seems you are referring to the expression or number "2 1-4" and want to clarify or simplify it. 2. If "2 1-4" means a mixed number or su

1. The problem is to verify if the sum $3 + \frac{3}{4} + \frac{3}{4}$ equals $\frac{9}{4}$. 2. First, convert the whole number 3 to a fraction with denominator 4:

1. **Problem 1:** A painter uses 0.8 gallons of blue paint for each mural and painted 3.5 murals. How many gallons of blue paint did she use? 2. **Formula:** Total paint used = gal

1. **State the problem:** We need to find the total cost of purchasing 84 lunch boxes, each costing 6.45.

1. **State the problem:** You want to watch 3 episodes a day and there are 200 episodes in total. We need to find out how many days it will take to watch all episodes. 2. **Formula

1. The problem is to find out how many days it will take to watch 200 episodes if you watch 2 episodes per day. 2. The formula to find the number of days is:

1. **State the problem:** Lucy's youth group raised 1569 and wants to split it evenly among 3 charities. 2. **Formula used:** To find how much each charity receives, divide the tot

1. The problem is not clearly stated, but since you asked for help with question 6, I will solve the first distinct math problem I can identify. 2. Given the numbers: #1 = 168, #2