📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Fraction Subtraction
1. **Stating the problem:** Calculate $3 - 1 \frac{4}{5}$.
2. **Convert mixed numbers to improper fractions:**
Fraction Subtraction
1. **State the problems:**
We need to solve the following subtraction problems involving mixed numbers and fractions:
Mixed Fraction Subtraction
1. **State the problems:**
We need to subtract the mixed fractions:
Mixed Number Subtraction
1. **State the problem:** Calculate $3 - 1 \frac{3}{4}$.
2. **Convert mixed numbers to improper fractions:**
Subtract Mixed
1. **State the problem:** We need to calculate $3 - 1 \frac{4}{5}$.
2. **Convert the mixed number to an improper fraction:**
Simple Subtraction
1. **State the problem:** Calculate the value of $1 - 5$.
2. **Recall the subtraction rule:** Subtracting a larger number from a smaller number results in a negative number.
Lcm Combo Packs
1. Problem 116: Find when all three stoves need refilling simultaneously.
We use the Least Common Multiple (LCM) of the refill times 18, 24, and 30 minutes.
Simple Addition
1. **State the problem:** Calculate the sum of 1 and 1.
2. **Formula used:** Addition of two numbers is given by $a + b$.
Multiplication Explanation
1. Let's clarify the problem: You are asking why multiplying 2.29 by some number results in 626.28.
2. To find the number that when multiplied by 2.29 gives 626.28, we use the form
Even Number Answers
1. **List the first eight prime numbers.**
Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves.
Place Value Ratio
1. The problem asks: "The value of the digit in the ten thousands place is how many times the value of the digit in the thousands place?"\n\n2. From the place-value chart, the digi
Simple Addition
1. **State the problem:** Calculate the sum of the numbers 2, 2, and 3.
2. **Formula used:** The sum of numbers is calculated by adding them together: $$\text{Sum} = a + b + c$$
Number Forms
1. **State the problem:** We need to write a number between 5000 and 6000 that has 3 hundreds, 2 ones, 7 tenths, and 4 thousandths in both standard and expanded form.
2. **Understa
Digit Move Value
1. **State the problem:** We have the number 60429 formed by digits 4, 0, 6, 2, 9. The digit 6 is initially in the thousands place. We move the digit 6 to the hundredths place in t
Simple Subtraction
1. **State the problem:** Calculate the value of $1 - 5$.
2. **Recall the subtraction rule:** Subtracting a larger number from a smaller number results in a negative number.
Decimal Multiplication
1. **State the problem:** We need to find the product of 0.04 and 0.08.
2. **Formula used:** The product of two numbers $a$ and $b$ is given by $$a \times b$$.
Total Cost
1. **State the problem:** We need to find the total cost for 90 members of the science club to visit the history museum, given that the cost per member is 175.75.
2. **Formula used
Product Multiplication
1. **State the problem:** Find the product of 12.22 and 15.38.
2. **Formula used:** To find the product of two numbers, multiply them directly:
Fruit Sales Difference
1. **State the problem:** We need to find how many more pounds of fruits the market sold on Saturday compared to Tuesday.
2. **Identify the total pounds sold each day:**
Change Calculation
1. **State the problem:** A customer buys shoes for 39.99, a shirt for 19.99, and a belt for 9.99. They pay with 100. We need to find the change.
2. **Formula:** Change = Amount gi
Basic Operations
1. The problem is to understand the relationship or operation involving the numbers 1 and 1.82.
2. Since the user did not specify an operation, let's consider basic operations: add