Question

4/5÷8 , 5/6÷10 , 3/7÷12 , 4÷2/5 , 21÷7/8 , 25÷5/8 , 8÷16/21 ​

Answer 1

Ответ:

Пошаговое объяснение:

4/5÷8=4/5:8/1=4/40=1/10

5/6÷10=5/6:10/1=5/60=1/12

3/7÷12=3/7:12/1=3/84=1/28

4÷2/5=4/1:2/5=20/2=10

21÷7/8=21/1:7/8=168/7=24

25÷5/8=25/1:5/8=200/5=40

8÷16/21=8/1:16/21=168/16=10 1/2

Answer 2

To solve these division problems involving fractions and mixed numbers, you'll need to remember some key rules for dividing fractions. Here's how you can solve each of these:

1. $\frac{4}{5} \div 8$

To divide a fraction by a whole number, you can convert the whole number to a fraction with a denominator of 1. So:

$\frac{4}{5} \div 8 = \frac{4}{5} \div \frac{8}{1}$

Now, invert the second fraction and multiply:

$\frac{4}{5} \cdot \frac{1}{8} = \frac{4}{5} \cdot \frac{1}{8} = \frac{4}{5 \cdot 8} = \frac{4}{40} = \frac{1}{10}$

2. $\frac{5}{6} \div 10$

Again, convert the whole number to a fraction:

$\frac{5}{6} \div 10 = \frac{5}{6} \div \frac{10}{1}$

Invert the second fraction and multiply:

$\frac{5}{6} \cdot \frac{1}{10} = \frac{5}{6 \cdot 10} = \frac{5}{60} = \frac{1}{12}$

3. $\frac{3}{7} \div 12$

Convert the whole number to a fraction:

$\frac{3}{7} \div 12 = \frac{3}{7} \div \frac{12}{1}$

Invert the second fraction and multiply:

$\frac{3}{7} \cdot \frac{1}{12} = \frac{3}{7 \cdot 12} = \frac{3}{84} = \frac{1}{28}$

4. $4 \div \frac{2}{5}$

To divide a whole number by a fraction, multiply by the reciprocal of the fraction:

$4 \div \frac{2}{5} = 4 \cdot \frac{5}{2} = \frac{4 \cdot 5}{2} = \frac{20}{2} = 10$

5. $21 \div \frac{7}{8}$

Again, multiply by the reciprocal of the fraction:

$21 \div \frac{7}{8} = 21 \cdot \frac{8}{7} = \frac{21 \cdot 8}{7} = \frac{168}{7} = 24$

6. $25 \div \frac{5}{8}$

Multiply by the reciprocal of the fraction:

$25 \div \frac{5}{8} = 25 \cdot \frac{8}{5} = \frac{25 \cdot 8}{5} = \frac{200}{5} = 40$

7. $8 \div \frac{16}{21}$