2/4 simplifies to 1/2 because both the numerator and the denominator can be divided by 2. Recognizing equivalent fractions is essential for comparing and simplifying fractions.

The fraction 4/8 simplifies to 1/2 by dividing both the numerator and the denominator by their greatest common divisor. This demonstrates the basic concept of simplifying fractions.

1/3 is greater than 1/4 because when converted to decimals, 1/3 is approximately 0.333, while 1/4 is 0.25. This question tests basic comparison of fractions with unlike denominators.

In any fraction, the number below the line indicates the denominator, which represents the total number of equal parts. In 3/7, 7 is the denominator, showing how the whole is divided.

Since the denominators are the same, the numerators can be added directly: 1 + 2 equals 3, resulting in 3/5. This reinforces the concept of adding fractions with common denominators.

To add fractions, first find a common denominator. Here, 1/2 can be converted to 2/4, and then added to 1/4 to yield 3/4.

The fraction 3/9 simplifies to 1/3 by dividing both the numerator and denominator by 3. This problem reinforces the idea of reducing fractions to their simplest form.

By using a common denominator of 12, 2/3 becomes 8/12 and 1/4 becomes 3/12. Subtracting these gives 5/12, demonstrating subtraction of fractions with unlike denominators.

Multiplying fractions involves multiplying the numerators and denominators respectively. Thus, 1/2 multiplied by 3/4 equals 3/8.

Dividing by a fraction is the same as multiplying by its reciprocal. Here, (3/5) ÷ (1/5) becomes 3/5 multiplied by 5/1, which equals 3.

Converting fractions to decimals, 3/7 is approximately 0.429 while 2/5 equals 0.4. Thus, 3/7 is slightly larger, demonstrating a method to compare fractions.

Since both fractions have the same denominator, you add the numerators to obtain 4/8, which simplifies to 1/2. This reinforces the procedure for adding and simplifying fractions.

The reciprocal of a fraction is found by swapping its numerator and denominator. Thus, the reciprocal of 4/5 is 5/4, highlighting the inversion process.

Dividing both numerator and denominator by 14 simplifies 14/28 to 1/2. This problem reinforces the idea of reducing fractions to their simplest form.

A whole divided into fourths results in four equal parts. Therefore, 4 one-fourths are needed to complete a whole, testing basic fraction partitioning.

To find half of 3/4 cup, multiply 3/4 by 1/2, resulting in 3/8 cup. This applies fraction multiplication to a real-life scenario.

If 2/3 of a number equals 10, then dividing 10 by 2 gives 5, which represents 1/3 of the number. This problem assesses understanding of fractional parts in a word problem.

First, add 1/2 and 1/3 by finding a common denominator to obtain 5/6. Dividing 5/6 by itself results in 1, demonstrating operations with compound fractions.

Multiply 5/8 by 3/5 to get 15/40, which simplifies to 3/8. This question applies fraction multiplication to determine a part of a part.

Multiplying 3/10 by 120 yields 36, which is the number of materials that need to be recycled. This problem combines fraction multiplication with whole number calculations to solve a practical scenario.