To multiply fractions, we multiply the numerators together and multiply the denominators together. For example, two thirds times four fifths equals two times four over three times five, which gives us eight fifteenths.
To divide fractions, we flip the second fraction to get its reciprocal, then multiply. For example, two thirds divided by four fifths equals two thirds times five fourths, which gives us ten twelfths, simplified to five sixths.
To simplify fractions, find the greatest common factor of the numerator and denominator. For twelve eighteenths, the GCF of twelve and eighteen is six. Dividing both by six gives us two thirds in simplest form.
When working with mixed numbers, first convert them to improper fractions. Two and one third becomes seven thirds. Then multiply normally: seven thirds times three fourths equals twenty-one twelfths, which simplifies to one and three fourths.
Remember these key rules: for multiplication, multiply numerators and denominators across. For division, flip the second fraction and multiply. Always simplify your final answer and convert mixed numbers to improper fractions first. With practice, these operations become automatic.