📘 arithmetic
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.
Fraction Sum
1. The problem is to add the mixed numbers and fractions: $1 + 1 + \frac{4}{8} + 6 + \frac{3}{8} = 4 \frac{5}{8}$ and then solve for the sum of $1 \frac{6}{8} + 1 \frac{3}{8} + \fr
Add Mixed Numbers
1. The problem is to add the mixed numbers $2 \frac{4}{9}$ and $6 \frac{2}{3}$.
2. Convert the mixed numbers to improper fractions:
Simple Addition
1. The problem is to find the sum of 1 and 1.
2. We add the two numbers: $1 + 1$.
Roots Multiples Factors
1. Evaluate the following square roots:
1.a. The square root of 16900:
Addition Result
1. Let's clarify the problem: You mentioned that when you add, the result is not 2 but 3.
2. To understand this, we need to know what numbers or expressions you are adding.
Multiply Add
1. Let's clarify the problem: You are asking if we multiply a number by 100 and then add another given number, is that correct?
2. The operation you described is: take a number $x$
Multiply 99 25
1. The problem is to multiply 99 by 25.
2. We can rewrite 99 as $100 - 1$ to make multiplication easier.
Egg Percentage
1. **State the problem:** We have 40 eggs in total, and 8 of them are damaged. We need to find the percentage of eggs that are good.
2. **Calculate the number of good eggs:**
Addition Regrouping
1. **State the problem:** We want to teach how to add two numbers using addition by regrouping (also called carrying).
2. **Explain the concept:** Addition by regrouping is used wh
Mixed Number Arithmetic
1. The problem is to evaluate the expression $$2\frac{1}{3} + 4\frac{3}{1} - 3\frac{1}{1} \times 5\frac{2}{1} \div 7\frac{4}{1} + 6\frac{2}{1}$$ where mixed numbers are given.
2. C
Basic Arithmetic
1. Let's solve each arithmetic problem step-by-step.
2. $5.25 + 5.30 = 10.55$
String Pieces
1. The problem states that a string of length 10 meters is cut into equal pieces, each piece being $\frac{1}{2}$ meter long.
2. To find the number of pieces, we divide the total le
Cake Division
1. **State the problem:** Emma bought 12 cakes and each child received $\frac{1}{6}$ of a cake. We need to find how many children received cake.
2. **Understand the division:** Eac
Cakes Division
1. **State the problem:** Emma bought 12 cakes and each child received $\frac{1}{6}$ of a cake. We need to find how many children received cakes.
2. **Understand the division:** Ea
Age In 20 Years
1. The problem asks: If you are 2 years old now, how old will you be in 20 years time?
2. To find your age in 20 years, add 20 to your current age.
Simple Addition
1. The problem is to find the sum of 2 and 2.
2. We add the two numbers: $2 + 2$.
Simple Addition
1. The problem is to find the sum of 12 and 3.
2. Add the two numbers: $$12 + 3 = 15$$
Simple Arithmetic
1. Stating the problem: Simplify the expression $100 - 99 + 1$.
2. Perform the subtraction first: $100 - 99 = 1$.
Fraction Division
1. The problem is to calculate $3 \frac{1}{5} \div 35$.
2. First, convert the mixed number $3 \frac{1}{5}$ to an improper fraction:
Multiply 4 Digit 2 Digit
1. **State the problem:** Multiply a 4-digit number by a 2-digit number with regrouping.
Example: Multiply 2345 by 67.
Add Decimals
1. **State the problem:** We need to find the sum of 22.42 and 13.12.
2. **Align the numbers by the decimal point:**