1.4.2 Working with Fractions
Worked Example:
Without using a calculator, work out \( \frac{5}{6}+ \frac{2}{3} \).
You must show all your working and give your answer as a fraction in its simplest form.
The least common denominator is \( 6 \), So
\( \frac{2}{3} \times \frac{2}{2}= \frac{4}{6} \)
Now add the numerators over the same denominator
\( \frac{5+4}{6}= \frac{9}{6} \)
Simplify
\( \frac{5}{6}+ \frac{2}{3}= \frac{3}{2} \)
Worked Example:
Without using a calculator, work out \( \frac{15}{28} \div \frac{4}{7} \)
You must show all your working and give your answer as a fraction in its simplest form.
Flip \( \frac{4}{7} \) and replace \( \div \)into \( \times \)
\( \frac{15}{28} \times \frac{7}{4} \)
Multiply the numerator by numerator and denominator by denominator
\( \frac{15 \times 7 }{28 \times 4 } \)
\( \frac{105}{112} \)
Simplify
\( \frac{15}{28} \div \frac{4}{7}= \frac{15}{16} \)