Question

14 – 13,2 : (3 11/21 – 2 4/15 ).

Answer 1

Ответ:

14-13.2\(3 11/21-2 4/15)

1)3 11/21-2 4/15=74/21-34/15=(74*5-34*7)/105=(370-238)/105=132/105

2)13,2:132/105=13 1/5:132/105=66/5:132/105=66*105/5*132=1*21/1*2=21/2=10 1/2

3)14-10 1/2=3 1/2 или 3,5

Answer 2

To solve this mathematical expression, let's break it down step by step:

1. Evaluate the fractions inside the parentheses:

   • $3 \frac{11}{21} = \frac{3 \cdot 21 + 11}{21} = \frac{63 + 11}{21} = \frac{74}{21}$
   • $2 \frac{4}{15} = \frac{2 \cdot 15 + 4}{15} = \frac{30 + 4}{15} = \frac{34}{15}$

2. Subtract the second fraction from the first:

   • $\frac{74}{21} - \frac{34}{15}$

3. Find a common denominator for the fractions, which is the least common multiple (LCM) of 21 and 15, which is 105:

   • $\frac{74 \cdot 5}{21 \cdot 5} - \frac{34 \cdot 7}{15 \cdot 7}$
   • $\frac{370}{105} - \frac{238}{105}$

4. Subtract the fractions with the common denominator:

   • $\frac{370 - 238}{105}$
   • $\frac{132}{105}$

5. Simplify the fraction, if possible:

   • Divide both the numerator and denominator by their greatest common divisor, which is 3:
   • $\frac{44}{35}$

So, the result of the expression $14 - 13.2 : (3 \frac{11}{21} - 2 \frac{4}{15})$ is $\frac{44}{35}$.