Agarasmin
Rozwiązane


3 Oblicz sprytnie.

a) 2/5+4 3/7+3/5
b) 4 2/3+2 3/7+1/3+4/7
c) 3 2/7+1 1/3+ 4 3/7+2 1/6+1/2
d) 2 3/5+2/9+3 1/2+1/3+7/10

Daje naj



3 Oblicz Sprytnie A 254 3735 B 4 232 371347 C 3 271 13 4 372 1612 D 2 35293 1213710 Daje Naj class=

Odpowiedź :

Werl12

Odpowiedź:

[tex]a) \: \frac{2}{5} + 4 \frac{3}{7} + \frac{3}{5} = \frac{2}{5} + \frac{3}{5} + 4 \frac{3}{7} = 1 +4 \frac{3}{7} = 5 \frac{3}{7} [/tex]

[tex]b) \: 4 \frac{2}{3} + 2 \frac{3}{7} + \frac{1}{3} + \frac{4}{7} = 4\frac{2}{3} + \frac{1}{3} + 2 \frac{3}{7} + \frac{4}{7} = 5 + 3 = 8[/tex]

[tex]c) \: 3 \frac{2}{7} + 1 \frac{1}{3} + 4 \frac{3}{7} + 2 \frac{1}{6} + \frac{1}{2} = 3 \frac{2}{7} + 4 \frac{3}{7} + 1 \frac{2}{6} + 2 \frac{1}{6} + \frac{3}{6} = 7 \frac{5}{7} + 4 = 11 \frac{5}{7} [/tex]

[tex]d) \: 2 \frac{3}{5} + \frac{2}{9} + 3 \frac{1}{2} + \frac{1}{3} + \frac{7}{10} = 2 \frac{6}{10} + 3 \frac{5}{10} + \frac{7}{10} + \frac{2}{9} + \frac{3}{9} = 6 \frac{4}{5} + \frac{5}{9} = 6 \frac{36}{45} + \frac{25}{45} = 7 \frac{16}{45} [/tex]

Mam nadzieję, że pomogłam :)

a)

²/₅ + 4 ³/₇ + ³/₅ = ²/₅ + ³/₅ + 4 ³/₇ = ⁵/₅ + 4 ³/₇ = 1 + 4 ³/₇ = 5 ³/₇

b)

4 ²/₃ + 2 ³/₇ + ¹/₃ + ⁴/₇ = 4 ²/₃ + ¹/₃ + 2 ³/₇ + ⁴/₇ = 4 ³/₃ + 2 ⁷/₇ = 5 + 3 = 8

c)

3 ²/₇ + 1 ¹/₃ + 4 ³/₇ + 2 ¹/₆ + ¹/₂ = 3 ²/₇ + 4 ³/₇ + 2 ¹/₆ +  1 ¹/₃ + ¹/₂ =

= 7 ⁵/₇ +  2 ¹/₆ +  1 ²/₆ + ³/₆ = 7 ⁵/₇ + 3 ⁶/₆ = 7 ⁵/₇ + 4 = 11 ⁵/₇

d)

2 ³/₅ + ²/₉ + 3 ¹/₂ + ¹/₃ + ⁷/₁₀ = 2 ³/₅ + 3 ¹/₂ + ⁷/₁₀ + ²/₉ + ¹/₃ =

= 2 ⁶/₁₀ + 3 ⁵/₁₀ + ⁷/₁₀ + ²/₉ + ³/₉ = 5 ¹⁸/₁₀ + ⁵/₉ = 6 ⁸/₁₀ + ⁵/₉ =

= 6 ⁴/₅ + ⁵/₉ = 6 ³⁶/₄₅ + ²⁵/₄₅ = 6 ⁶¹/₄₅ = 7 ¹⁶/₄₅