Question

3 3/8*3 1/5 + 3 1/5 * 1 5/12 - 4 1/6 * 3 1/5

Answer 1

Ответ:

Пошаговое объяснение:

=3 1/5*(3 3/8+1 5/12-4 1/6)=

3 1/5*(3 9/24+1 10/24-4 4/24)=

3 1/5*5/8=16/5*5/8=2

Answer 2

To calculate the expression, we'll first convert the mixed numbers to improper fractions, then perform the multiplications and additions:

1. Convert mixed numbers to improper fractions:

   • $3\frac{3}{8} = \frac{3 \cdot 8 + 3}{8} = \frac{24 + 3}{8} = \frac{27}{8}$
   • $3\frac{1}{5} = \frac{3 \cdot 5 + 1}{5} = \frac{15 + 1}{5} = \frac{16}{5}$
   • $1\frac{5}{12} = \frac{1 \cdot 12 + 5}{12} = \frac{12 + 5}{12} = \frac{17}{12}$
   • $4\frac{1}{6} = \frac{4 \cdot 6 + 1}{6} = \frac{24 + 1}{6} = \frac{25}{6}$
   • $3\frac{1}{5} = \frac{3 \cdot 5 + 1}{5} = \frac{15 + 1}{5} = \frac{16}{5}$

2. Now, let's perform the multiplications and additions:

$\frac{27}{8} \cdot \frac{16}{5} + \frac{16}{5} \cdot \frac{17}{12} - \frac{25}{6} \cdot \frac{16}{5}$

To simplify this expression, we'll find a common denominator, which is 120:

$\frac{27}{8} \cdot \frac{16}{5} \cdot \frac{12}{12} + \frac{16}{5} \cdot \frac{17}{12} \cdot \frac{10}{10} - \frac{25}{6} \cdot \frac{16}{5} \cdot \frac{24}{24}$

Now, perform the multiplications:

$\frac{4320}{120} + \frac{2720}{120} - \frac{9600}{120}$

Next, add and subtract the fractions:

$\frac{4320 + 2720 - 9600}{120}$

Now, simplify the numerator:

$\frac{-2560}{120}$

Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 40:

$\frac{-64}{3}$

So, the result of the expression is $-\frac{64}{3}$, or approximately -21.3333 when expressed as a decimal.