Question

3/8*5/6=? -14/15*(-3/7)=? 18/55*(-11/18)=? -21/32*(-12/35)=? 17/40*(-8/51)=? -15/22*4/27=?

Answer 1

1. 5/16
2. 2/5
3. 1/5
4. 9/40
5. 1/15
6. 10/99

Answer 2

Let's calculate these expressions step by step:

1. $\frac{3}{8} \times \frac{5}{6}$ This is a simple multiplication of fractions: $\frac{3}{8} \times \frac{5}{6} = \frac{3 \times 5}{8 \times 6} = \frac{15}{48} = \frac{5}{16}$

2. $-\frac{14}{15} \times -\frac{3}{7}$ When you multiply two negative fractions, the result is positive: $-\frac{14}{15} \times -\frac{3}{7} = \frac{14 \times 3}{15 \times 7} = \frac{42}{105} = \frac{2}{5}$

3. $\frac{18}{55} \times -\frac{11}{18}$ Multiply the fractions: $\frac{18}{55} \times -\frac{11}{18} = -\frac{18 \times 11}{55 \times 18} = -\frac{198}{990} = -\frac{11}{55}$

4. $-\frac{21}{32} \times -\frac{12}{35}$ Multiply the fractions: $-\frac{21}{32} \times -\frac{12}{35} = \frac{21 \times 12}{32 \times 35} = \frac{252}{1120} = \frac{63}{280}$

5. $\frac{17}{40} \times -\frac{8}{51}$ Multiply the fractions: $\frac{17}{40} \times -\frac{8}{51} = -\frac{17 \times 8}{40 \times 51} = -\frac{136}{2040} = -\frac{34}{510} = -\frac{17}{255}$

6. $-\frac{15}{22} \times \frac{4}{27}$ Multiply the fractions: $-\frac{15}{22} \times \frac{4}{27} = -\frac{15 \times 4}{22 \times 27} = -\frac{60}{594} = -\frac{10}{99}$

So, the results of the given calculations are:

1. $\frac{5}{16}$
2. $\frac{2}{5}$
3. $-\frac{11}{55}$
4. $\frac{63}{280}$
5. $-\frac{17}{255}$