📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Fraction Inequality
1. Problem: Determine whether the inequality $\frac{2}{3} \neq \frac{8}{12}$ is true or false.
2. Formula and rules: To compare two fractions, convert them to have a common denomin
Sum Numbers
1. **State the problem:** We need to find the sum of all the numbers listed in the message.
2. **Identify the numbers:** The numbers are mostly 72654, 90001, 3000, 70001, 20001, 80
Lcm Gcd Problems
1. The problem asks for the lowest common multiple (LCM) of 9 and 4, the shortest fence length Zara and Chester can both build using their panel lengths, the largest number of boxe
Lcm Hcf Factors
1. **Problem 1: Find the Lowest Common Multiple (LCM) of 6 and 10.**
2. The LCM of two numbers is the smallest positive integer that is divisible by both numbers.
Multiply Expression
1. **State the problem:** Evaluate the expression $ (5 \times 3) \times 7 $.
2. **Recall the order of operations:** Multiplication is associative, so we can multiply in any order.
Simple Addition
1. **State the problem:** Calculate the sum of 1, 4, and 5.
2. **Formula used:** For addition, the sum of numbers $a$, $b$, and $c$ is given by $$a + b + c$$
Rows And Seats
1. **State the problem:** We have 93 people and each row has 8 seats. We want to find how many rows will be completely full and how many people will be sitting in the not full row.
Multiply 40 8.10
1. The problem is to multiply 40 by 8.10.
2. The multiplication formula is straightforward: $$a \times b$$ where $a=40$ and $b=8.10$.
Factors 35 70
1. **State the problem:** Find the factors of 35 and 70.
2. **Recall the definition:** Factors of a number are integers that divide the number exactly without leaving a remainder.
Sugar Per Cookie
1. **Stating the problem:** We are given that 2 cookies together contain 30.3 grams of sugar. We need to find the amount of sugar in 1 cookie.
2. **Formula and explanation:** Since
Decimal Multiplication
1. **State the problem:** A construction crew worked for 11.5 days and built 2.8 kilometers of road each day. We need to find the total length of road built.
2. **Formula used:** T
Division Simple
1. **State the problem:** We need to calculate the division of 111 by 1111.
2. **Formula used:** Division is the operation of determining how many times one number is contained wit
Simple Addition
1. **State the problem:** Calculate the sum of 2 and 1.
2. **Formula used:** Addition of two numbers is given by $a + b$.
Example Calculation
1. The problem is to perform an example calculation and continue working it.
2. Since the user did not specify the exact calculation, let's assume a simple example: calculate $6 \t
Mixed Number Sum
1. **State the problem:** Calculate the value of $2 \frac{3}{4} + 3 \frac{2}{5} - 1 \frac{2}{3}$.
2. **Convert mixed numbers to improper fractions:**
Mixed Number Sum
1. **State the problem:** Calculate the value of $2 \frac{3}{4} + 3 \frac{2}{3} - 1 \frac{2}{3}$.
2. **Convert mixed numbers to improper fractions:**
Total Weight
1. **State the problem:** We need to find the total weight of a carton containing 24 tins of powdered milk, where each tin weighs 400 grams and the carton itself weighs 150 grams.
Basic Addition
1. Let's start by understanding what you want to learn. Since you said "explain it to me like I'm 10," I will explain a math concept in a simple way.
2. Imagine you want to add two
Decimal Multiplication
1. **State the problem:** Multiply the numbers 15.45 and 25.35.
2. **Formula used:** To multiply two decimal numbers, multiply them as if they were whole numbers, then place the de
Sum Numbers
1. The problem is to find the sum of the numbers: 4440.51, 1142.64, 359.85, 180.00, 69.40, 41.03, 8.56, and 3.06.
2. The formula for addition is simply adding all the numbers toget
Simple Arithmetic
1. **State the problem:** Calculate the value of the expression $ (9.8 + 4.1) - (2.5 + 3.1) $.
2. **Use the order of operations:** First, perform the operations inside the parenthe