Lars is planting a vegetable garden 10 1/3 feet
long and 1 1/2 feet
wide. What is the area of the garden? Convert the answer to a mixed number.(1 point)
To find the area of the garden, we multiply the length by the width.
The length of the garden is 10 1/3 feet, which can be written as 31/3 feet.
The width of the garden is 1 1/2 feet, which can be written as 3/2 feet.
So, the area of the garden is (31/3) * (3/2) = (31 * 3) / (3 * 2) = 93/6.
To convert this fraction to a mixed number, we divide the numerator by the denominator:
93 ÷ 6 = 15 remainder 3.
So, the area of the garden is 15 3/6 square feet.
Simplifying the fraction, we get:
15 3/6 = 15 1/2.
Therefore, the area of the garden is 15 1/2 square feet.
To find the area of the garden, we need to multiply the length by the width.
The length is given as 10 1/3 feet, which can be simplified to an improper fraction:
10 1/3 = (10 * 3 + 1)/3 = 31/3
The width is given as 1 1/2 feet, which can also be simplified to an improper fraction:
1 1/2 = (1 * 2 + 1)/2 = 3/2
Now, we can multiply the fractions to find the area:
(31/3) * (3/2) = 31/1
To convert the improper fraction 31/1 to a mixed number, we divide the numerator (31) by the denominator (1):
31 ÷ 1 = 31
So, the area of the garden is 31 square feet, which can be written as the mixed number 31 0/1.
To find the area of the garden, we need to multiply the length by the width.
The length of the garden is 10 1/3 feet. To multiply this mixed number by a whole number, we need to convert it to an improper fraction.
To convert 10 1/3 to an improper fraction, we multiply the whole number (10) by the denominator of the fraction (3) and then add the numerator (1). This gives us 31. So, 10 1/3 is equivalent to 31/3.
The width of the garden is 1 1/2 feet. Similarly, we can convert this mixed number to an improper fraction by multiplying the whole number (1) by the denominator of the fraction (2) and then adding the numerator (1). This gives us 3/2.
Now, we can multiply the length and width as fractions:
Area = (31/3) x (3/2) = (31 x 3) / (3 x 2) = 93/6
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 3.
93/6 ÷ 3/3 = 31/2
So, the area of Lars' vegetable garden is 31/2 square feet. To convert this improper fraction to a mixed number, we divide the numerator (31) by the denominator (2):
31 ÷ 2 = 15 with a remainder of 1
Therefore, the area of the garden is 15 1/2 square feet.