3. 8 2/5 x 5 1/2
4. 8x + 8
6. 6 divided by 1/5
7. 3/8 divided by 2/7
8. 8 2/5 divided by 2 5/8
10. 6/5 divided by ___ = 6
12. c/3 = 4
13. 2 1/3x = 7 7/8
I NEED HELP ON THESE
Sure! I can help you with these math problems step-by-step. Let's take them one by one:
3. To multiply mixed numbers, you need to convert them into improper fractions. Here's the calculation:
8 2/5 x 5 1/2
First, convert both mixed numbers into improper fractions:
8 2/5 = (8 * 5 + 2) / 5 = 42/5
5 1/2 = (5 * 2 + 1) / 2 = 11/2
Now, multiply the two fractions together:
(42/5) x (11/2) = (42 x 11) / (5 x 2) = 462/10
Simplifying the fraction, we get: 231/5
4. To solve the equation 8x + 8 = 0, you need to isolate x. Here's the solution:
First, subtract 8 from both sides of the equation:
8x = -8
Next, divide both sides by 8:
x = -8/8
Simplifying the fraction, we get: x = -1
6. To divide a number by a fraction, you multiply by its reciprocal. Here's the solution:
6 divided by 1/5 can be rewritten as 6 multiplied by the reciprocal of 1/5, which is 5/1:
6 / (1/5) = 6 x (5/1) = 6 x 5 = 30
7. To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. Here's the solution:
3/8 divided by 2/7 can be rewritten as 3/8 multiplied by 7/2:
(3/8) / (2/7) = (3/8) x (7/2) = (3 x 7) / (8 x 2) = 21/16
8. To divide mixed numbers, you need to convert them into improper fractions. Here's the calculation:
8 2/5 divided by 2 5/8
First, convert both mixed numbers into improper fractions:
8 2/5 = (8 * 5 + 2) / 5 = 42/5
2 5/8 = (2 * 8 + 5) / 8 = 21/8
Now, divide the two fractions:
(42/5) / (21/8) = (42/5) x (8/21) = (42 x 8) / (5 x 21) = 336/105
Simplifying the fraction, we get: 32/10
10. To find the value that can be divided by 6/5 to get 6, you need to divide 6 by 6/5. Here's the solution:
6 / (6/5) = 6 x (5/6) = 5
12. To solve the equation c/3 = 4, you need to isolate c. Here's the solution:
First, multiply both sides of the equation by 3:
(c/3) x 3 = 4 x 3
c = 12
13. To solve the equation 2 1/3x = 7 7/8, you need to convert the mixed numbers into improper fractions. Here's the calculation:
2 1/3x = (2 * 3 + 1) / 3 = 7/3x
7 7/8 = (7 * 8 + 7) / 8 = 63/8
Now, divide both sides of the equation by 7/3:
(7/3x) / (7/8) = (7/3x) x (8/7) = (7 x 8) / (3 x 7) = 8/3
Simplifying the fraction, we get: 8/3
I hope this helps you with your math problems! Let me know if you have any further questions.
Sure! I'd be happy to help you with these math problems one by one. Here's how you can solve each of them:
3. To multiply the mixed numbers 8 2/5 and 5 1/2, you can convert them into improper fractions, multiply the numerators (top numbers) together, and multiply the denominators (bottom numbers) together. Finally, simplify the result if needed.
8 2/5 = (8 * 5 + 2) / 5 = 42/5
5 1/2 = (5 * 2 + 1) / 2 = 11/2
Now, multiply the fractions: (42/5) * (11/2) = (42 * 11) / (5 * 2) = 462/10
You can simplify this by dividing both the numerator and denominator by their greatest common divisor, which is 2 in this case: 462/10 = 231/5. Therefore, the result is 231/5.
4. To simplify the expression 8x + 8, there is no need to calculate an exact value since it's an algebraic expression. It represents a linear equation with a variable x. If you need to find the value of x that satisfies the equation, you would need more information or additional equations.
6. To divide 6 by 1/5, you can think of dividing by a fraction as multiplying by its reciprocal. The reciprocal of 1/5 is 5/1.
So, (6) / (1/5) = (6) * (5/1) = (6 * 5) / 1 = 30. Therefore, the result is 30.
7. To divide the fractions 3/8 and 2/7, again, think of dividing by a fraction as multiplying by its reciprocal. The reciprocal of 2/7 is 7/2.
So, (3/8) / (2/7) = (3/8) * (7/2) = (3 * 7) / (8 * 2) = 21/16. Therefore, the result is 21/16.
8. To divide the mixed numbers 8 2/5 and 2 5/8, you can convert them into improper fractions and follow similar steps to the previous questions.
8 2/5 = (8 * 5 + 2) / 5 = 42/5
2 5/8 = (2 * 8 + 5) / 8 = 21/8
Now, divide the fractions: (42/5) / (21/8) = (42 * 8) / (5 * 21) = 336/105. You can simplify this by dividing both the numerator and denominator by their greatest common divisor, which is 7 in this case: 336/105 = 48/15 = 16/5. Therefore, the result is 16/5.
10. To find the missing number in the expression 6/5 divided by ___ equals 6, you can multiply both sides of the equation by the denominator (the number you're trying to find) and simplify the equation.
(6/5) / (x) = 6
Multiply both sides by x: (6/5) = 6 * x
Divide both sides by 6: (6/5) / 6 = x
Simplify: 1/5 = x
Therefore, the missing number is 1/5.
12. To solve the equation c/3 = 4 for the variable c, you can multiply both sides of the equation by 3 to isolate c.
(c/3) * 3 = 4 * 3
Simplify: c = 12
Therefore, the value of c that satisfies the equation is 12.
13. To solve the equation 2 1/3x = 7 7/8 for the variable x, you can first convert the mixed numbers into improper fractions and then isolate x by dividing both sides of the equation by the coefficient next to x.
2 1/3 = (2 * 3 + 1) / 3 = 7/3
7 7/8 = (7 * 8 + 7) / 8 = 63/8
Now, rewrite the equation: (7/3) * x = 63/8
Divide both sides by 7/3: (7/3) * x / (7/3) = (63/8) / (7/3)
Simplify: x = (63/8) * (3/7)
Multiply the numerators and denominators: x = (63 * 3) / (8 * 7)
Simplify: x = 189/56
You can further simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 7 in this case: x = 27/8.
Therefore, the value of x that satisfies the equation is 27/8.
I hope this explanation helps you understand how to solve these math problems! If you have any further questions, feel free to ask.
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( 8 + 2 / 5 ) * ( 5 + 1 / 2 ) = ( 40 / 5 + 2 / 5 ) * ( 10 / 2 + 1 / 2 ) = 42 / 5 * 11 / 2 =
42 / 5 * 11 / 2 = 42 * 11 / 5 * 2 = 462 / 10 = 2 * 231 / 2 * 5 = 231 / 5
8 x + 8 = 8 ( x + 1 )
6 / ( 1 / 5 ) = 6 * 5 = 30
( 3 / 8 ) / ( 2 / 7 ) = 3 * 7 / 8 * 2 = 21 / 16
( 8 + 2 / 5 ) / ( 2 + 5 / 8 ) = ( 40 / 5 + 2 / 5 ) / ( 16 / 8 + 5 / 8 ) = ( 42 / 5 ) / ( 21 / 8 ) =
42 * 8 / 5 * 21 = 21 * 2 * 8 / 21 * 5 = 2 * 8 / 5 = 16 / 5
( 6 / 5 ) / x = 6
6 / 5 x = 6
Multiply both sides by 5 x
6 = 30 x
Divide both sides by 30
6 / 30 = x
6 / 6 * 5 = x
1 / 5 = x
x = 1 / 5
c / 3 = 4
Multiply both sides by 3
c = 12
( 2 + 1 / 3 ) x = 7 + 7 / 8
( 6 / 3 + 1 / 3 ) x = 56 / 8 + 7 / 8
( 7 / 3 ) x = 63 / 8
7 x / 3 = 63 / 8
Cross multiply
7 x * 8 = 3 * 63
56 x = 189
x = 189 / 56 = ( 168 + 21 ) / 56 =
168 / 56 + 21 / 56 = 3 + 21 / 56 = 3 21/56