Using your knowledge of BODMAS and fast rules in mathematics, solve the following: a) Simplify rac34 imes ( rac12 ext of 2 rac13) + 1 rac14

here are the solutions to questions 1 to 6:

1. Using your knowledge of BODMAS and fast rules in mathematics, solve the following:

*a) Simplify $\frac{3}{4} \times (\frac{1}{2} \text{ of } 2\frac{1}{3}) + 1\frac{1}{4}$

Step 1: Convert mixed numbers to improper fractions.

$$2\frac{1}{3} = \frac{7}{3}$$ $$1\frac{1}{4} = \frac{5}{4}$$

The expression becomes: $\frac{3}{4} \times (\frac{1}{2} of \frac{7}{