Does anyone have the answers for lesson 7 Solving equations with fractions through multiplication Math 6 A
There are 8 questions
I'll post 3
1: find the reciprocal of 9/11
2: find the quotient 5÷ 5/11
3: 4/7 ÷ 7/8
Here are the step-by-step solutions for the three math questions you posted:
1. Find the reciprocal of 9/11:
To find the reciprocal of a fraction, you simply need to swap the numerator and denominator. Therefore, the reciprocal of 9/11 is 11/9.
2. Find the quotient 5 ÷ 5/11:
To divide by a fraction, you need to multiply by its reciprocal. So, the division problem 5 ÷ 5/11 is equivalent to 5 * 11/5.
Multiplying: 5 * 11 = 55, and 5 * 5 = 25.
Therefore, 5 ÷ 5/11 = 55/25, which simplifies to 11/5.
3. Solve 4/7 ÷ 7/8:
When dividing fractions, you need to multiply by the reciprocal of the divisor. So, the division problem 4/7 ÷ 7/8 is equivalent to 4/7 * 8/7.
Multiplying: 4 * 8 = 32, and 7 * 7 = 49.
Therefore, 4/7 ÷ 7/8 = 32/49.
You can use the same steps to solve the remaining 5 questions. Just remember to multiply by the reciprocal when dividing fractions.
To find the answers to these questions, let's break down each problem and explain how to solve them.
1. Find the reciprocal of 9/11:
The reciprocal of a fraction is obtained by flipping the numerator and the denominator. So, to find the reciprocal of 9/11, we just need to swap 9 and 11. The reciprocal of 9/11 is 11/9.
2. Find the quotient 5 ÷ 5/11:
To divide a number by a fraction, we need to multiply it by the reciprocal of that fraction. In this case, we need to divide 5 by 5/11. To find the reciprocal of 5/11, we flip 5/11 to get 11/5. Now, we can multiply 5 by 11/5. To multiply fractions, multiply the numerators together and the denominators together. So, (5 * 11) ÷ 5 = 55 ÷ 5 = 11. Therefore, the quotient of 5 ÷ 5/11 is 11.
3. Solve 4/7 ÷ 7/8:
Again, to divide two fractions, we need to multiply the first fraction by the reciprocal of the second fraction. Here, we need to divide 4/7 by 7/8. To find the reciprocal of 7/8, we flip it to get 8/7. Now, we can multiply 4/7 by 8/7. Multiplying fractions works the same way as in the previous explanation. Multiply the numerators together and the denominators together. So, (4 * 8) ÷ (7 * 7) = 32 ÷ 49. Therefore, the result of 4/7 ÷ 7/8 is 32/49.
Now, using the explanations above, you can solve the remaining 5 questions by applying the same steps. Remember to find the reciprocal of the second fraction and then multiply the two fractions together.