How to Add, Subtract, Multiply, and Divide Fractions

Yes, you can multiply fractions with different denominators without needing a common denominator, as the denominators are multiplied together.

To add fractions, you need to get common denominators by multiplying the first fraction by the denominator of the second and vice versa. Then, you add the numerators and keep the common denominator.

Subtracting fractions also requires common denominators. After obtaining them, you subtract the numerators and keep the common denominator.

To multiply fractions, you multiply the numerators together and the denominators together (across).

Yes, it is often easier to simplify fractions before multiplying if possible to cancel out any common numbers.

To divide fractions, use the expression 'keep, change, flip.' Keep the first fraction, change division to multiplication, and flip the second fraction.

'Keep' means to keep the first fraction the same, 'change' means to change division to multiplication, and 'flip' means to flip the second fraction.

Certainly, for the fraction 17/12, you can convert it to a mixed number by dividing the numerator by the denominator. 17 divided by 12 is 1 with a remainder of 5, so the mixed number is 1 and 5/12.

No, it is not always necessary, but it can make the multiplication process easier if there are common factors in the numerators and denominators.

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

A mixed number is a combination of a whole number and a proper fraction.

Simplifying fractions involves dividing both the numerator and the denominator by their greatest common divisor to reduce the fraction to its lowest terms.

The greatest common divisor (GCD) can be found by listing the factors of both numbers and identifying the largest common factor, or by using the Euclidean algorithm.

The denominator represents the total number of equal parts that make up a whole in a fraction.

The numerator represents the number of parts of the whole that you are considering in a fraction.

No, fractions are equivalent if they represent the same portion of a whole, but different fractions can represent different amounts.

Two fractions are equivalent if they can be simplified to the same fraction or if their cross products are equal.

A common denominator is a denominator that two or more fractions have in common, allowing them to be added, subtracted, or compared.

Yes, you can multiply fractions with different denominators without needing a common denominator, as the denominators are multiplied together.

To add fractions, you need to get common denominators by multiplying the first fraction by the denominator of the second and vice versa. Then, you add the numerators and keep the common denominator.