Compute: 1/2÷2/3 . Simplify the answer if possible.
To divide fractions, you need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
So, to simplify 1/2 ÷ 2/3, you need to multiply 1/2 by the reciprocal of 2/3.
The reciprocal of 2/3 is 3/2.
Now, multiply 1/2 by 3/2:
(1/2) * (3/2) = (1 * 3) / (2 * 2) = 3/4
Therefore, 1/2 ÷ 2/3 simplifies to 3/4.
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To compute the expression 1/2 ÷ 2/3, we can follow these steps:
Step 1: Rewrite the expression as a multiplication of the reciprocal of the second fraction.
1/2 ÷ 2/3 can be written as 1/2 * 3/2.
Step 2: Multiply the numerators (the top numbers) together to get the new numerator.
1 * 3 = 3.
Step 3: Multiply the denominators (the bottom numbers) together to get the new denominator.
2 * 2 = 4.
Step 4: Simplify the fraction, if possible.
In this case, the fraction cannot be simplified any further.
So, the final answer is 3/4.
To compute the expression 1/2 ÷ 2/3, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 2/3 is 3/2.
So the expression becomes: (1/2) * (3/2).
Multiplying the numerators gives us: 1 * 3 = 3.
Multiplying the denominators gives us: 2 * 2 = 4.
Therefore, the simplified answer is 3/4.
Bryan has 5 2/3
feet of leather cord to use to make friendship bracelets. He needs 1/2
foot of cord for each one. How many whole bracelets can Bryan make?
To determine how many whole bracelets Bryan can make, we need to divide the total length of cord he has by the length needed for each bracelet.
Bryan has 5 2/3 feet of leather cord, which can be written as the mixed number 5 + 2/3.
To add the whole number and fraction, we need to convert the whole number to a fraction with the same denominator as the fraction (3).
5 = 5/1, so 5 + 2/3 = 5/1 + 2/3.
Next, we need to find a common denominator for the fractions. The common denominator of 1 and 3 is 3.
5/1 = 15/3, so 15/3 + 2/3 = 17/3.
Now we can divide the total length of cord by the length needed for each bracelet:
17/3 ÷ 1/2.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
17/3 * 2/1 = (17 * 2) / (3 * 1) = 34/3.
To simplify this fraction, we can find the highest common factor of 34 and 3, which is 1. Dividing both the numerator and denominator by 1 gives us the simplified fraction.
34/3 ÷ 1/1 = 34/3.
Now we can determine the number of whole bracelets Bryan can make by dividing the numerator by the denominator:
34 ÷ 3 = 11 remainder 1.
Therefore, Bryan can make 11 whole bracelets, with 1/3 of a foot of cord left over.
Apologies for the mistake.
Let's calculate again.
Bryan has 5 2/3 feet of leather cord.
Since each bracelet requires 1/2 foot of cord, we need to divide the total length of cord by the length needed for each bracelet.
To convert 5 2/3 to an improper fraction, we multiply the whole number (5) by the denominator of the fraction (3) and add the numerator (2). This gives us (5*3 + 2)/3 = 17/3.
Next, we divide 17/3 by 1/2 to find the number of bracelets Bryan can make:
(17/3) ÷ (1/2) = (17/3) * (2/1) = (17*2)/(3*1) = 34/3.
To simplify this fraction, we divide the numerator (34) by the denominator (3): 34/3 = 11 remainder 1.
Therefore, Bryan can make 11 whole bracelets with 1/3 foot of cord leftover.
A bakery orders 6 1/2 pounds of gluten-free flour. Each gluten-free cake uses 3/4 pound of the special flour. How many full cakes can the bakery make from this order? Your answer should be a whole number.
To find the number of full cakes the bakery can make, we need to divide the total amount of gluten-free flour by the amount used per cake.
The bakery orders 6 1/2 pounds of gluten-free flour, which can be written as the mixed number 6 + 1/2.
To add the whole number and fraction, we need to convert the mixed number to an improper fraction.
6 = 6/1, so 6 + 1/2 = 6/1 + 1/2.
Next, we find a common denominator for the fractions. The common denominator of 1 and 2 is 2.
6/1 = 12/2, so 12/2 + 1/2 = 13/2.
Now we can divide the total amount of flour by the amount used per cake:
13/2 ÷ 3/4.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
13/2 * 4/3 = (13 * 4) / (2 * 3) = 52/6.
To simplify this fraction, we find the highest common factor of 52 and 6, which is 2. Dividing both the numerator and denominator by 2 gives us the simplified fraction.
52/6 ÷ 2/2 = 52/6.
Now we can determine the number of full cakes the bakery can make by dividing the numerator by the denominator:
52 ÷ 6 = 8 remainder 4.
Therefore, the bakery can make 8 full cakes from the order, with 4/6 pound of flour leftover, which can be simplified to 2/3 pound.