To divide by a fraction, you simply multiply by the reciprocal. For example, dividing by 3/5 is the same as multiplying by 5/3.
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No. Fractions don't need the same denominator in order to multiply them. The numerator of their product is simply the product of their numerators, and the denominator of their product is just the product of their denominators.
Yes, numerical expressions can have the same value. For example, the expressions 2+3 and 5 both have the value of 5. Similarly, the expressions 2x3 and 6 both have the value of 6. In general, any two numerical expressions that evaluate to the same number will have the same value.
That means that the two expressions represent the same number.
To divide by a fraction, you simply multiply by the reciprocal. For example, dividing by 3/5 is the same as multiplying by 5/3.
You add the numerators and put over the denominator.
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No. you must make the denominators the same
When multiplying two rational expressions, simply multiply their numerators together, and their denominators together: (a / b) * (c / d) = (a * c) / (b * d) Dividing one fraction by another is the same as multiplying the first fraction by the reciprocal of the second one: (a / b) / (c / d) = (a / b) * (d / c) = (a * d) / (b * c) This is often referred to as cross multiplication.
No. Fractions don't need the same denominator in order to multiply them. The numerator of their product is simply the product of their numerators, and the denominator of their product is just the product of their denominators.
If the denominator is the same, you just add the numerators - just as with plain numbers.
How is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions?If you know how to do arithmetic with rational numbers you will understand the arithmetic with rational functions! Doing operations (adding, subtracting, multiplying, and dividing) is very similar. When you areadding or subtracting they both require a common denominator. When multiplying or dividing it works the same for instance reducing by factoring. Operations on rational expressions is similar to doing operations on fractions. You have to come up with a common denominator in order to add or subtract. To multiply the numerators and denominators separated. In division you flip the second fraction and multiply. The difference is that rational expressions can have variable letters and powers in them.
Equations are said to be equivalent if they have the same solution. This definition also holds true in rational equations or equations involving rational expressions. For instance, the equations 2x = 14 and x - 3 = 4 are equivalent. Why? It's because they have the same solution, that is x = 7.
Negative rational numbers are used in the same way that negative whole numbers are used: they are simply the additive inverses of their positive counterparts.
Equivalent expressions.
equivalent expressions