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2 years ago

210÷[5+16÷2{6−18÷(7+2)}]−15

Mathematics

2 answers:

svlad2 [7]2 years ago

3 0

Step-by-step explanation:

210 ÷ [ 5 + 16 ÷ 2 { 6 - 18 ÷ ( 7 + 2 ) } ] - 15

210 ÷ [ 5 + 16 ÷ 2 { 6 - 18 ÷ 9 } ] - 15

210 ÷ [ 5 + 16 ÷ 2 { 6 - 2 } ] - 15

210 ÷ [ 5 + 16 ÷ 2 { 4 } ] - 15

210 ÷ [ 5 + 16 ÷ 8 ] - 15

210 ÷ [ 5 + 2 ] - 15

210 ÷ 7 - 15

30 - 15

$...$

valentinak56 [21]2 years ago

3 0

Answer:

$-\frac{345}{37}$

Step-by-step explanation:

Just follow the order of operations

210÷[5+16÷2{6−18÷(7+2)}]−15

= 210÷[5+16÷2{6−18÷9}]−15 (calculate 7+2)

= 210÷[5+16÷2{6−2}]−15 (calculate 18÷9)

= 210÷[5+16÷2{4}]−15 (calculate 6-4)

= 210÷[5+16÷2×4]−15

= 210÷[5+8×4]−15 (calculate 16÷2)

= 210÷[5+32]−15 (calculate 8×4)

= 210÷[37]−15 (calculate 5+32)

= 210÷37−15

= 210÷37−(15×37)÷37 (put on the same denominator)

= 210÷37−555÷37 (calculate 15×37)

= (210−555)÷37

=-345÷37 (calculate 210-555)

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210÷[5+16÷2{6−18÷(7+2)}]−15​

210÷[5+16÷2{6−18÷(7+2)}]−15