Caleb's family room has the dimensions 5 1/4yd wide and 3 7/8yd long. he needs to find the area of the room so that he knows how much carpet to buy.
To find the area of Caleb's family room, we can multiply the width by the length.
First, let's convert the measurements to a common fraction:
Width = 5 1/4 yd = (4/4 + 1/4) yd = 21/4 yd
Length = 3 7/8 yd = (8/8 + 7/8) yd = 15/8 yd
Now, we can multiply the width and length to find the area:
Area = Width x Length = (21/4 yd) x (15/8 yd)
To multiply fractions, we multiply the numerators together and the denominators together:
Area = (21/4) x (15/8) = (21 x 15) / (4 x 8)
Calculating the numerator and denominator:
Area = 315 / 32
Thus, the area of Caleb's family room is 315/32 square yards.
To find the area of Caleb's family room, we need to multiply its width by its length. In this case, the width is given as 5 1/4 yards and the length is given as 3 7/8 yards.
To perform the calculation with mixed numbers, we can convert them into improper fractions.
Converting the width:
5 1/4 = (4 * 5 + 1) / 4 = 21/4
Converting the length:
3 7/8 = (8 * 3 + 7) / 8 = 31/8
Now we can multiply the fractions:
Area = (21/4) * (31/8)
To simplify, we can multiply the numerators (21 * 31) together and the denominators (4 * 8) together, like this:
Area = (21 * 31) / (4 * 8)
Multiplying the numerators gives us 651, and multiplying the denominators gives us 32:
Area = 651/32
Therefore, the area of Caleb's family room is 651/32 square yards.