Ms. Simmons is using sticky notes to write reminders to herself. Each sticky note is 5/6 inches in length and 2/3 inches in width. If Ms. Simmons places 9 sticky notes on her board, what is the total area, in square inches, of Ms. Simmons’s sticky notes?
Area of one note is (5/6)(2/3) inches^2
= 5/9 in^2
now just multiply this by 9
can you explain
To find the total area of Ms. Simmons's sticky notes, we need to find the area of one sticky note and then multiply it by the number of sticky notes.
The length of each sticky note is 5/6 inches, and the width is 2/3 inches. To find the area of a rectangular shape, we multiply the length and width.
Area of one sticky note = Length × Width
= (5/6) × (2/3)
To multiply fractions, we multiply the numerators and the denominators.
Area of one sticky note = (5/6) × (2/3)
= (5 × 2) / (6 × 3)
= 10/18
The area of one sticky note is 10/18 square inches.
Now that we know the area of one sticky note, we can find the total area by multiplying it by the number of sticky notes.
Total area of sticky notes = Area of one sticky note × Number of sticky notes
= (10/18) × 9
To multiply a fraction by a whole number, we multiply the numerator by the whole number and keep the denominator the same.
Total area of sticky notes = (10/18) × 9
= (10 × 9) / 18
= 90/18
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 18.
Total area of sticky notes = 90/18
= 5
Therefore, the total area of Ms. Simmons's sticky notes is 5 square inches.