Q. Simplify. Express your answer as a single fraction in simplest form. 45−5d
Identify Terms: Identify the terms in the expression that need to be combined into a single fraction. The expression given is 45−5d. We need to combine these terms into a single fraction.
Find Common Denominator: Find a common denominator for the terms.Since 45 is already a fraction and 5d is not, we can write 5d as a fraction with a denominator of 1 to find a common denominator. The common denominator between 4 and 1 is 4.
Rewrite with Common Denominator: Rewrite 5d with the common denominator.We can express 5d as (5d×4)/4 to have the same denominator as 45.
Combine Fractions: Combine the fractions.Now we have 45−(45d×4). Since the denominators are the same, we can combine the numerators.(45−(5d×4))
Simplify Numerator: Simplify the numerator.Multiply 5d by 4 in the numerator to get 20d.45−20d
Check for Simplification: Check for any further simplification.The fraction (5−20d)/4 is already in simplest form because the numerator and denominator do not have any common factors other than 1.
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