📘 arithmetic

1. **State the problem:** Multiply the mixed fraction $1 \frac{3}{4}$ by 40. 2. **Convert the mixed fraction to an improper fraction:**

1. Le problème consiste à détailler la division, c'est-à-dire expliquer comment diviser un nombre par un autre. 2. La division est une opération qui consiste à partager un nombre (

1. **State the problem:** Calculate the value of the expression $18 - 32$. 2. **Use the subtraction rule:** Subtracting a number is the same as adding its negative.

1. The problem is to evaluate the expression \(192\).\n\n2. Since \(192\) is a single number and not an equation or expression to simplify, the value is simply \(192\).\n\n3. There

1. Let's clarify how we got 52 in the previous calculation. 2. Suppose the original expression was something like $60 - 8$.

1. The problem is to evaluate the expression: 3. 2. Since 3 is a single number and not an equation or expression to simplify, the value is simply 3.

1. **State the problem:** We need to divide 84.6 by 24. 2. **Write the division as a fraction:**

1. **Compare the fractions $\frac{4}{5}$ and $\frac{7}{5}$.** Since both fractions have the same denominator 5, we compare the numerators directly.

1. **State the problem:** We need to find the quotient of $3 \div \frac{1}{8}$ and verify the result using a model. 2. **Recall the division rule for fractions:** Dividing by a fra

1. **State the problem:** Mike has 6 green apples and 3 red apples. Each apple is sliced into eighths. We need to find the total number of slices. 2. **Understand the problem:** Ea

1. The problem asks to convert the mixed number $3 \frac{5}{6}$ into an improper fraction. 2. Recall that a mixed number $a \frac{b}{c}$ can be converted to an improper fraction us

1. **Problem:** Find the percentage of laptops among all computers in the lab. 2. **Step 1:** Identify the total number of computers.

1. The problem asks to convert the mixed number 1 1/4 cups into an improper fraction. 2. A mixed number consists of a whole number and a fraction. To convert it to an improper frac

1. Let's understand why we multiply by 3 in certain problems. 2. Multiplying by 3 means you are adding the same number three times. For example, $3 \times 4$ means $4 + 4 + 4$.

1. **State the problem:** Divide 209 by 11 and find the quotient and remainder. 2. **Formula and rules:** When dividing integers, the division algorithm states:

1. **State the problem:** We need to divide 477 by 29 using long division. 2. **Recall the division formula:** For integers, division can be expressed as $$\text{Dividend} = (\text

1. The problem asks which expression is equal to $12 + 20$. 2. First, calculate $12 + 20$:

1. **State the problem:** Divide 787 by 19 using long division. 2. **Formula and rules:** Long division involves dividing the dividend (787) by the divisor (19) step-by-step, estim

1. **State the problem:** We need to find the total value of the money described, which includes dollar bills and coins. 2. **Identify the values:**

1. The problem is to find the total value of the given amounts of money: 3 dollars and 95 cents, 3 dollars and 85 cents, 3 dollars and 75 cents, and 3 dollars and 40 cents. 2. To a

1. **State the problem:** We need to find the total value in dollars and cents for the given amounts: 3 dollars and 95 cents, 3 dollars and 85 cents, 3 dollars and 75 cents, and 3