Question

1.
A(n) ________________ contains a whole number part and a fraction part
[1] Proper fraction
[2] Complex fraction
[3] Improper fraction
[4] Mixed number

2.The following are ordered from to greatest is.
1.1/10;4/9;3/5
2.4/9;1/10;3/5
3.3/5;1/10;4/9
4.4/9;3/5;1/10

3.John covers 2/3
of a journey by car 1/4
of the journey by bicycle, and walks the rest of the way. What part of does he walk
1.3/7 2.1/8 3.1/12 4.3/10

Answer 1

1. [4] Mixed number
2. [1]1/10;4/9;3/5
3. [3]1/12

Details

2.

We've three different numbers with different denominators - we can't compare them. To compare them, we need to have the same denominator.

Now, $LCM(10, 9, 5) = 90$. We need to have this denominator. Thus,

$$\frac{1}{10} = \frac{9}{90}, \frac{4}{9} = \frac{40}{90}, \frac{3}{5} = \frac{60}{90}$$

Thus we can compare them with respect to their numerators.

3.

We will take the complete work as 1. John covers $\frac23$ distance by car and $\frac14$ by bicycle.

So total distance covered this way $= \frac23 + \frac14 = \frac{8}{12} + \frac{3}{12}=\frac{8+3}{12}=\frac{11}{12}$.

Distance left $= 1 - \frac{11}{12} = \frac{12}{12} - \frac{11}{12} = \frac{12-11}{12}=\frac{1}{12}$.