Question

3/7× 1 5/9=3 1/7×1 3/7=9 3/8 × 2 2/5= 6 5/7 × 7 /47=​

Answer 1

Ответ:

3/7× 1 5/9=3/7 ×14/9=2/3

3 1/7×1 3/7= 22/7×10/7=220/49=4 24/49

9 3/8 × 2 2/5=75/8× 12/5=15/2×3=45/2=22 1/2 или 22,5

Пошаговое объяснение:

Answer 2

Let's calculate each of these multiplications step by step:

1. $\frac{3}{7} \times \frac{1}{5/9}$

   To multiply fractions, you can multiply the numerators together and the denominators together. In this case:

   Numerator: $3 \times 1 = 3$

   Denominator: $7 \times \frac{9}{5} = \frac{7 \times 9}{5} = \frac{63}{5}$

   So, $\frac{3}{7} \times \frac{1}{5/9} = \frac{3}{\frac{63}{5}}$.

   Now, you can multiply by the reciprocal (flip the fraction):

   $\frac{3}{\frac{63}{5}} \times \frac{5}{1} = \frac{3 \times 5}{\frac{63}{1}} = \frac{15}{63}$.

   Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:

   $\frac{15}{63} = \frac{15 \div 3}{63 \div 3} = \frac{5}{21}$.

2. $\frac{3}{7} \times \frac{1}{3/7}$

   Similar to the first calculation, you multiply the numerators and denominators together:

   Numerator: $3 \times 1 = 3$

   Denominator: $7 \times \frac{7}{3} = \frac{7 \times 7}{3} = \frac{49}{3}$

   So, $\frac{3}{7} \times \frac{1}{3/7} = \frac{3}{\frac{49}{3}}$.

   Multiply by the reciprocal:

   $\frac{3}{\frac{49}{3}} \times \frac{3}{1} = \frac{3 \times 3}{\frac{49}{1}} = \frac{9}{49}$.

3. $\frac{9}{8} \times \frac{2}{5/2}$

   Again, multiply the numerators and denominators:

   Numerator: $9 \times 2 = 18$

   Denominator: $8 \times \frac{5}{2} = \frac{8 \times 5}{2} = \frac{40}{2} = 20$

   So, $\frac{9}{8} \times \frac{2}{5/2} = \frac{18}{20}$.

   Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:

   $\frac{18}{20} = \frac{18 \div 2}{20 \div 2} = \frac{9}{10}$.

4. $\frac{6}{7} \times \frac{7}{47}$

   Here, you can see that the $7$ in the numerator of the first fraction cancels out with the $7$ 0 0