Topic Content:
- Word Problems with Fractions
The quotient of two numbers is the result obtained by dividing one number by another. The quotient of eight divided by four is two.
Worked Example 3.4.1:
Find two-thirds of the sum of 23 and 19.
Solution
\( \frac{2}{3} \: \times \: \scriptsize \left (23 \: + \: 19 \right) \)= \( \frac{2}{3} \: \times \: \frac{42}{1} \)
= \( \scriptsize 2 \: \times \: 14 = 28 \)
Worked Example 3.4.2:
Divide 88 by the sum of 2 and the product of 3 and 3.
Solution
product of 3 and 3
⇒ 3 × 3 = 9
Add 2 to it = \( \scriptsize 2 + (3 \: \times \: 3) \\ \scriptsize = 2 + 9 = 11\)
Divide 88 by the sum which is 11 = \( \frac{88}{11} \\ \scriptsize = 8 \)
Worked Example 3.4.3:
Add the square of 9 to the product of the square roots of 25 and 4, and divide the result by the square root of 100.
Solution
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