Question

4 2/5-1 3/4+6 7/15- 8 7/60=?

Answer 1

42/5 - 13/4 + 67/15 - 87/60
На 60 умножаем, получаем:
504/60 - 195/60 + 268/60 - 87/60=
490/60 = 49/6 = 8 целых 1/6

Answer 2

To solve this expression, let's first convert all the mixed numbers into improper fractions and then perform the arithmetic operations:

1. Convert mixed numbers to improper fractions:

   • $4 \frac{2}{5} = \frac{4 \cdot 5 + 2}{5} = \frac{22}{5}$
   • $1 \frac{3}{4} = \frac{1 \cdot 4 + 3}{4} = \frac{7}{4}$
   • $6 \frac{7}{15} = \frac{6 \cdot 15 + 7}{15} = \frac{97}{15}$
   • $8 \frac{7}{60} = \frac{8 \cdot 60 + 7}{60} = \frac{487}{60}$

2. Perform the arithmetic operations: $\frac{22}{5} - \frac{7}{4} + \frac{97}{15} - \frac{487}{60}$

   To add and subtract fractions, we need a common denominator. The least common multiple (LCM) of 5, 4, 15, and 60 is 60.

   $\frac{22 \cdot 12}{5 \cdot 12} - \frac{7 \cdot 15}{4 \cdot 15} + \frac{97 \cdot 4}{15 \cdot 4} - \frac{487}{60}$

   $\frac{264}{60} - \frac{105}{60} + \frac{388}{60} - \frac{487}{60}$

   Combine the numerators:

   $\frac{264 - 105 + 388 - 487}{60}$

   $\frac{60}{60}$

   $1$

So, $4 \frac{2}{5} - 1 \frac{3}{4} + 6 \frac{7}{15} - 8 \frac{7}{60} = 1$.