Question 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.
Length = 10 1/3 feet = 31/3 feet
Width = 1 1/2 feet = 3/2 feet
Area = (31/3 feet) * (3/2 feet)
= (31/3) * (3/2)
= 31/1
= 31
So, the area of the garden is 31 square feet, which can also be represented as a mixed number as 31 0/1.
To find the area of the garden, multiply the length and width of the garden.
The length of the garden is 10 1/3 feet, which can be written as an improper fraction: 10 + 1/3 = 31/3 feet.
The width of the garden is 1 1/2 feet, which can be written as an improper fraction: 1 + 1/2 = 3/2 feet.
Multiply the fractions and simplify:
(31/3) * (3/2) = (31 * 3) / (3 * 2) = 93/6 = 15 3/6.
The area of the garden is 15 3/6 square feet.
To find the area of Lars' vegetable garden, we need to multiply the length by the width. The length is given as 10 1/3 feet, which can be expressed as the mixed number 10 + 1/3 = 10 1/3 feet. The width is given as 1 1/2 feet.
To multiply mixed numbers, we first need to convert them into improper fractions.
The improper fraction for 10 1/3 is found by multiplying the whole number 10 by the denominator (3), adding the numerator (1), and writing the result over the denominator. So, 10 1/3 can be written as (10 * 3 + 1)/3, which simplifies to 31/3.
The improper fraction for 1 1/2 is found by multiplying the whole number 1 by the denominator (2), adding the numerator (1), and writing the result over the denominator. So, 1 1/2 can be written as (1 * 2 + 1)/2, which simplifies to 3/2.
Now, we can multiply the two improper fractions: (31/3) * (3/2). Multiplying the numerators (31 * 3) gives 93, and multiplying the denominators (3 * 2) gives 6. So, the product is 93/6.
To convert an improper fraction into a mixed number, we divide the numerator (93) by the denominator (6). The quotient is the whole number part, and the remainder becomes the numerator of the fractional part. So, 93 divided by 6 is equal to 15, with a remainder of 3.
Therefore, the area of Lars' vegetable garden is 15 3/6 square feet. To simplify this mixed number, we can divide the numerator (3) by the denominator (6) to get 1/2. So, the area can also be expressed as 15 1/2 square feet.