Chapter 1: Q 1.51. (page 44)

Divide $- \frac{7}{27} \div (- \frac{35}{36})$ .

Short Answer

Expert verified

$\frac{4}{15}$

Step by step solution

Step 1. Given Information

The given expression is $- \frac{7}{27} \div (- \frac{35}{36})$ .

Step 2. Find the product of the first fraction and reciprocal of the second fraction to get the quotient.

The reciprocal of the fraction $- \frac{35}{36}$ is $- \frac{36}{35}$ .
To find the quotient, calculate the product of $- \frac{7}{27}$ and $- \frac{36}{35}$ .
$- \frac{7}{27} \div (- \frac{35}{36}) = - \frac{7}{27} (- \frac{36}{35})$

Step 3. Multiply after determining the sign of the product.

Since both fractions are containing the same sign, the product will be positive.
Multiply both numerators together and both denominators together.
$- \frac{7}{27} (- \frac{36}{35}) = \frac{7 \cdot 36}{27 \cdot 35}$

Step 4. Factors the all numbers.

Factor the numbers so that the common terms can be divided out.
Simplify.

$\begin{array}{rcl} \frac{7 \cdot 36}{27 \cdot 35} & = & \frac{7 \cdot 3 \cdot 2 \cdot 3 \cdot 2}{3 \cdot 3 \cdot 3 \cdot 7 \cdot 5} \\ = & \frac{4}{15} \end{array}$

Step 5. Conclusion

The obtained value is $\frac{4}{15}$ .

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Divide $- \frac{7}{27} \div (- \frac{35}{36})$ .

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the product of the first fraction and reciprocal of the second fraction to get the quotient.

Step 3. Multiply after determining the sign of the product.

Step 4. Factors the all numbers.

Step 5. Conclusion

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Divide-727÷-3536.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Find the product of the first fraction and reciprocal of the second fraction to get the quotient.

Step 3. Multiply after determining the sign of the product.

Step 4. Factors the all numbers.

Step 5. Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Applied Mathematics

Statistics

Discrete Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Divide $- \frac{7}{27} \div (- \frac{35}{36})$ .