Solve the following mathematical problems: 1. Ksh. 995 is to be shared among 8 grandchildren. Find how much each grandchild gets if the amount is rounded to the nearest 10. 2. Calculate: 20 + 5 × 8 -

Ksh. 995 rounded to the nearest ten is Ksh. 1000.

8 grandchildren rounded to the nearest ten is 10 grandchildren.

Each grandchild would get Ksh. 100.

The amount each grandchild got is $\boxed{\text{Ksh. 100}}$.

The result is $\boxed{70}$.

1. To find an equivalent fraction for $\frac{1}{2}$, multiply the numerator and denominator by the same non-zero number. Let's multiply by 2.

An equivalent fraction is $\boxed{\frac{2}{4}}$.

2. To find an equivalent fraction for $\frac{2}{3}$, multiply the numerator and denominator by the same non-zero number. Let's multiply by 2.

An equivalent fraction is $\boxed{\frac{4}{6}}$.

3. To find the simplest form of $\frac{8}{16}$, divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 8 and 16 is 8.

The simplest form is $\boxed{\frac{1}{2}}$.

The total fraction of students is 1.
Fraction of boys = $\frac{24}{50}$.
Fraction of girls = $1 - \frac{24}{50} = \frac{50}{50} - \frac{24}{50} = \frac{26}{50}$.

To simplify $\frac{26}{50}$, divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 26 and 50 is 2.

The fraction of girls in its simplest form is $\boxed{\frac{13}{25}}$.

Avocados: $\frac{2}{5}$
Mangoes: $\frac{1}{7}$

The least common multiple (LCM) of 5 and 7 is 35.
Convert $\frac{2}{5}$:

Convert $\frac{1}{7}$:

Since $\frac{14}{35} > \frac{5}{35}$, avocados are more than mangoes.

The fruits that are more are avocados.

$\frac{2}{3}, \frac{1}{6}, \frac{1}{2}, \frac{1}{8}$.

The least common multiple (LCM) of 3, 6, 2, and 8 is 24.

The numerators are 16, 4, 12, 3.
In descending order: 16, 12, 4, 3.

John: $\frac{3}{8}$
Agnes: $\frac{7}{12}$
Patel: $\frac{4}{6}$
Otieno: $\frac{5}{12}$

Patel: $\frac{4}{6} = \frac{4 \div 2}{6 \div 2} = \frac{2}{3}$.

$\frac{3}{8}, \frac{7}{12}, \frac{2}{3}, \frac{5}{12}$.
The least common multiple (LCM) of 8, 12, and 3 is 24.

John: $\frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}$
Agnes: $\frac{7}{12} = \frac{7 \times 2}{12 \times 2} = \frac{14}{24}$
Patel: $\frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24}$
Otieno: $\frac{5}{12} = \frac{5 \times 2}{12 \times 2} = \frac{10}{24}$

The numerators are 9, 14, 16, 10.
In ascending order: 9, 10, 14, 16.