1. Write the following fractions in their simplest form:
(a) 5⁄10 |
(c) 45⁄60 |
(e) 51⁄4 ÷ 13⁄5 |
(b) 6⁄8 |
(d) 8⁄12 |
(f) 75⁄100 |
2. Change these improper fractions into mixed numbers:
(a) 17⁄2 |
(c) 9⁄7 |
(e) 15⁄7 |
(b) 5⁄3 |
(d) 40⁄8 |
(f) 16⁄12 |
3. Change each of these mixed numbers into improper fractions:
(a) 31⁄2 |
(c) 21⁄7 |
(e) 49⁄10 |
(b) 43⁄4 |
(d) 35⁄8 |
(f) 94⁄5 |
4. Calculate:
(a) 5⁄8 + 3⁄4 |
(f) 26⁄7 − 17⁄8 |
(k) 3⁄a + 3⁄a2 |
(b) 3⁄4 − 1⁄8 |
(g) 2⁄x + 4⁄y |
(l) |
(c) 4⁄5 + 3⁄4 |
(h) 5⁄b − 3⁄b |
(m) 26⁄7 + 17⁄8 |
(d) 31⁄4 − 11⁄2 |
(i) 33⁄8 × 2 |
(n) 61⁄5 − 23⁄8 |
(e) 43⁄8 + 21⁄4 |
(j) x⁄3 − x⁄4 |
(o) 31⁄8 + 41⁄6 − 25⁄12 |
5. Calculate
(a) 1⁄4 × 2⁄3 |
(c) 5⁄11 × 7⁄9 |
(e) 31⁄2 × 41⁄4 |
(b) 4⁄5 × 15⁄16 |
(d) 75⁄99 × 33⁄100 |
(f) 13⁄8 × 21⁄4 |
6. Calculate
(a) 3⁄4 ÷ 1⁄2 |
(c) 4⁄5 ÷ 2⁄3 |
(e) 14⁄5 ÷ 9⁄10 |
(b) 8⁄9 ÷ 4⁄9 |
(d) 31⁄2 ÷ 7⁄8 |
(f) 3⁄4 ÷ 3 |