Matematică, întrebare adresată de alex200947, 8 ani în urmă

2 1/2–[3/4–(1–5/8)]b)3 1/4+[1 1/6(1 1/12)]c)(1 1/3–1 1/5)+[2–(1–1/15)]d)[1+(1–2/3)]–(2 1/6–1 1/3) va rog mult cine o face e cel mai tare pup :*

Răspunsuri la întrebare

Răspuns de florin3364
2

Răspuns:

Explicație pas cu pas:

a)

2 1/2–[3/4–(1–5/8)] =

= 2 1/2–[3/4–(8/8–5/8)] =

= 2 1/2–(3/4–3/8) =

= 2 1/2–(6/8–3/8) =

= 2 1/2–3/8 =

= 5/2–3/8 =

= 20/8–3/8 =

= 17/8 =

= 2 1/8

b)

3 1/4+[1 1/6(1 1/12)] =

= 13/4+[7/6(13/12)] =

= 13/4 + 91/72 =

= 284/72 + 91/72 =

= 375/72 =

= 125/24

=5 5/24

c)

(1 1/3–1 1/5)+[2–(1–1/15)] =

= (4/3–6/5)+[30/15–(15/15–1/15)] =

= (20/15–18/15)+(30/15–14/15) =

= 2/15 + 16/15 =

= 18/15 =

= 1 3/15 =

= 1 1/5

d)

[1+(1–2/3)]–(2 1/6–1 1/3) =

= [1+(3/3–2/3)]–(13/6–4/3) =

= (1+ 1/3)–(13/6–8/6) =

= (3/3+ 1/3)–5/6 =

= 4/3 - 5/6 =

= 8/6 - 5/6 =

= 3/6 =

= 1/2.

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