5 times a number increased by 4 is divided by 6 times the same number

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5 times a number increased by 4 is divided by 6 times the same number

Take this algebraic expression in parts.

Part 1: 5 times a number increased by 4

• The phrase a number means an arbitrary variable, let's call it x: x
• 5 times the number means multiply x by 5: 5x
• Increased by 4 means we add 4 to 5x: 5x + 4

Part 2: 6 times the same number

• From above, a number is x: x
• 6 times the number means we multiply x by 6: 6x

The phrase is divided by means we have a quotient, where 5x + 4 is the numerator, and 6x is the denominator.
(5x + 4)/6x