3 Work these out. Give each answer as a mixed number in its lowest terms. Cancel before you do any calculations. \( \begin{array}{lll}\text { a } \frac{3}{4} \times 18 & \text { b } \frac{5}{6} \times 21 & \text { (c) } \frac{5}{8} \times 22\end{array} \)

To find the answers as mixed numbers in lowest terms, we can cancel before performing the calculations: For \( a: \frac{3}{4} \times 18 \) First, we can express 18 as \( \frac{18}{1} \), then we can multiply: \[ \frac{3 \times 18}{4 \times 1} = \frac{54}{4} \] Now, simplify by dividing both numerator and denominator by 2: \[ \frac{27}{2} = 13 \frac{1}{2} \] For \( b: \frac{5}{6} \times 21 \) Convert 21 to \( \frac{21}{1} \): \[ \frac{5 \times 21}{6 \times 1} = \frac{105}{6} \] Now simplify by dividing both by 3: \[ \frac{35}{2} = 17 \frac{1}{2} \] For \( c: \frac{5}{8} \times 22 \) Convert 22 to \( \frac{22}{1} \): \[ \frac{5 \times 22}{8 \times 1} = \frac{110}{8} \] Now simplify by dividing both by 2: \[ \frac{55}{4} = 13 \frac{3}{4} \] So, the answers are: a) \( 13 \frac{1}{2} \) b) \( 17 \frac{1}{2} \) c) \( 13 \frac{3}{4} \)