To solve the subtraction of fractions 5/6 - 7/8, we need to have a common denominator. The least common multiple of 6 and 8 is 24, so we will convert both fractions to have a denominator of 24.
Thus, the equivalent fraction for 5/6 with a denominator of 24 is (5/6) * (4/4) = 20/24.
Similarly, the equivalent fraction for 7/8 with a denominator of 24 is (7/8) * (3/3) = 21/24.
Now, we can subtract the fractions: 20/24 - 21/24 = (-1/24).
Therefore, 5/6 - 7/8 equals -1/24.
- 5/6 - 7/8
11 answers
-7/8k = - 21
To solve the equation -7/8k = -21, you can begin by isolating the variable k.
Step 1: Multiply both sides of the equation by (8/7) to eliminate the fraction on the left side.
(-7/8k) * (8/7) = (-21) * (8/7)
-k = -24
Step 2: Multiply both sides of the equation by -1 to isolate the variable k by itself.
k = 24
Therefore, the solution to the equation -7/8k = -21 is k = 24.
Step 1: Multiply both sides of the equation by (8/7) to eliminate the fraction on the left side.
(-7/8k) * (8/7) = (-21) * (8/7)
-k = -24
Step 2: Multiply both sides of the equation by -1 to isolate the variable k by itself.
k = 24
Therefore, the solution to the equation -7/8k = -21 is k = 24.
2 3/4 + 5/6
To add mixed numbers with fractions, you need to convert the mixed number to an improper fraction and then find a common denominator. Here's how you can solve 2 3/4 + 5/6:
Step 1: Convert the mixed number 2 3/4 to an improper fraction.
To convert 2 3/4 to an improper fraction, multiply the whole number (2) by the denominator (4) and add the numerator (3). Then, put the result over the denominator.
2 * 4 = 8
8 + 3 = 11
So, 2 3/4 as an improper fraction is 11/4.
Step 2: Find a common denominator for 11/4 and 5/6.
The denominators are 4 and 6. To find a common denominator, you need to find the least common multiple (LCM) of 4 and 6, which is 12.
Step 3: Convert both fractions to have a denominator of 12.
To convert 11/4 to a fraction with a denominator of 12, multiply both the numerator and denominator by 3. You get (11/4) * (3/3) = 33/12.
To convert 5/6 to a fraction with a denominator of 12, multiply both the numerator and denominator by 2. You get (5/6) * (2/2) = 10/12.
Now, you have 33/12 + 10/12.
Step 4: Add the fractions.
To add fractions, add the numerators and keep the denominator the same. So, 33/12 + 10/12 = 43/12.
Step 5: Simplify if necessary.
If possible, simplify the fraction. In this case, 43/12 cannot be simplified any further.
Therefore, the sum of 2 3/4 and 5/6 is 43/12.
Step 1: Convert the mixed number 2 3/4 to an improper fraction.
To convert 2 3/4 to an improper fraction, multiply the whole number (2) by the denominator (4) and add the numerator (3). Then, put the result over the denominator.
2 * 4 = 8
8 + 3 = 11
So, 2 3/4 as an improper fraction is 11/4.
Step 2: Find a common denominator for 11/4 and 5/6.
The denominators are 4 and 6. To find a common denominator, you need to find the least common multiple (LCM) of 4 and 6, which is 12.
Step 3: Convert both fractions to have a denominator of 12.
To convert 11/4 to a fraction with a denominator of 12, multiply both the numerator and denominator by 3. You get (11/4) * (3/3) = 33/12.
To convert 5/6 to a fraction with a denominator of 12, multiply both the numerator and denominator by 2. You get (5/6) * (2/2) = 10/12.
Now, you have 33/12 + 10/12.
Step 4: Add the fractions.
To add fractions, add the numerators and keep the denominator the same. So, 33/12 + 10/12 = 43/12.
Step 5: Simplify if necessary.
If possible, simplify the fraction. In this case, 43/12 cannot be simplified any further.
Therefore, the sum of 2 3/4 and 5/6 is 43/12.
5/6 x 2/3
To multiply fractions, you simply multiply the numerators together, and then multiply the denominators together. Here's how you can solve 5/6 x 2/3:
5/6 x 2/3 = (5 x 2) / (6 x 3) = 10/18
However, it is often preferable to simplify the resulting fraction. In this case, both 10 and 18 have a common factor of 2. Dividing both the numerator and denominator by 2, we get:
10/18 = (10 ÷ 2) / (18 ÷ 2) = 5/9
So, 5/6 x 2/3 simplifies to 5/9.
5/6 x 2/3 = (5 x 2) / (6 x 3) = 10/18
However, it is often preferable to simplify the resulting fraction. In this case, both 10 and 18 have a common factor of 2. Dividing both the numerator and denominator by 2, we get:
10/18 = (10 ÷ 2) / (18 ÷ 2) = 5/9
So, 5/6 x 2/3 simplifies to 5/9.
-6+9/-3
To solve the expression -6 + 9/-3, we can simplify each term separately and then perform the addition.
First, let's simplify the term 9/-3. Since the numerator and denominator both have a factor of 3, we can simplify it further:
9/-3 = -3
Now, we can substitute this simplified term into the original expression:
-6 + (-3)
To add these two negative numbers, we simply add their absolute values and keep the negative sign:
-6 + (-3) = -9
Therefore, the value of -6 + 9/-3 is -9.
First, let's simplify the term 9/-3. Since the numerator and denominator both have a factor of 3, we can simplify it further:
9/-3 = -3
Now, we can substitute this simplified term into the original expression:
-6 + (-3)
To add these two negative numbers, we simply add their absolute values and keep the negative sign:
-6 + (-3) = -9
Therefore, the value of -6 + 9/-3 is -9.
your wrong. the answer was -1
Apologies for the incorrect response. Let us correctly solve the expression -6 + 9/-3.
To simplify the expression, we first need to evaluate the division 9/-3, which equals -3.
Substituting this back into the expression, we get:
-6 + (-3)
To add the two numbers, we add their absolute values and keep the negative sign:
-6 + (-3) = -9
Therefore, the correct value of -6 + 9/-3 is -9.
To simplify the expression, we first need to evaluate the division 9/-3, which equals -3.
Substituting this back into the expression, we get:
-6 + (-3)
To add the two numbers, we add their absolute values and keep the negative sign:
-6 + (-3) = -9
Therefore, the correct value of -6 + 9/-3 is -9.