In each part, give a value that fits each description.
a. 2 1/3 times as long as 24 cm
b. 75% as long as 24cm
a) 7/3 x 24 = ___
b) 3/4 x 24 = ___
Step 1: Calculate 2 1/3 times 24 cm.
To calculate 2 1/3 times 24 cm, we first need to convert the mixed number 2 1/3 into an improper fraction.
2 1/3 = (2 * 3 + 1) / 3 = 7/3
Now, we can multiply 7/3 by 24 cm:
7/3 * 24 cm = (7 * 24) / 3 = 168/3 = 56 cm
Therefore, a value that is 2 1/3 times as long as 24 cm is 56 cm.
Step 2: Calculate 75% of 24 cm.
To calculate 75% of 24 cm, we can multiply 24 cm by 0.75:
24 cm * 0.75 = 18 cm
Therefore, a value that is 75% as long as 24 cm is 18 cm.
To find the values that fit each description, we can use the given lengths and perform the necessary calculations.
a. 2 1/3 times as long as 24 cm:
To find a length that is 2 1/3 times as long as 24 cm, we can multiply 24 cm by 2 1/3.
First, convert the mixed number into an improper fraction:
2 1/3 = (2 * 3 + 1) / 3 = 7/3
Now, multiply the improper fraction with 24 cm:
(7/3) * 24 cm = (7 * 24) / 3 cm = 168/3 cm = 56 cm
So, a length that is 2 1/3 times as long as 24 cm is 56 cm.
b. 75% as long as 24 cm:
To find a length that is 75% as long as 24 cm, we can multiply 24 cm by 75% (or 0.75).
Multiply 24 cm by 0.75:
24 cm * 0.75 = 18 cm
Therefore, a length that is 75% as long as 24 cm is 18 cm.