Fraction: How to Multiply &divide

Fractions are an essential part of mathematics and real-life situations. Multiplication and division of fractions are fundamental operations used to manipulate and compare fractions. Here is a step-by-step guide on how to multiply and divide fractions:

Multiplying Fractions:

To multiply fractions, follow these steps:

1. Multiply the Numerators: Multiply the top numbers of the fractions to get the new numerator of the result.

2. Multiply the Denominators: Multiply the bottom numbers of the fractions to get the new denominator of the result.

3. Simplify if necessary: Reduce the resulting fraction to its simplest form by dividing both the numerator and denominator by their greatest common factor.

For example, if we need to multiply 2/3 and 4/5:

1. Multiply the numerators: 2 * 4 = 8.

2. Multiply the denominators: 3 * 5 = 15.

3. The result is 8/15, which is already in its simplest form.

Dividing Fractions:

To divide fractions, follow these steps:

1. Invert the Second Fraction: Instead of dividing, multiply by the reciprocal (flipped version) of the second fraction.

2. Multiply the Numerators: Multiply the numerators of the fractions to get the new numerator of the result.

3. Multiply the Denominators: Multiply the denominators of the fractions to get the new denominator of the result.

4. Simplify if necessary: Reduce the resulting fraction to its simplest form.

For example, if we need to divide 2/3 by 4/5:

1. Invert the second fraction: 4/5 becomes 5/4.

2. Multiply the numerators: 2 * 5 = 10.

3. Multiply the denominators: 3 * 4 = 12.

4. The result is 10/12, which can be simplified by dividing both the numerator and denominator by their greatest common factor (in this case, 2) to get 5/6.

Multiplying fractions involves multiplying the numerators and denominators, while dividing fractions involves inverting the second fraction and then multiplying. Simplification is often required to express the result in its simplest form. These operations are essential for various mathematical and real-world applications, such as cooking, scaling, and problem-solving.

Learn how to multiply and divide fractions with Mr. J's step-by-step example.

Math with Mr. J is a channel that offers free instructional videos that are directly aligned with math standards. Teachers, parents, and students from all around the world have used this channel to strengthen their understanding of math concepts. So, check out the video and learn more about multiplying/dividing fraction!