Question

1 /2 + 2 / 3 + 3 / 4 - 5 / 12​

Answer 1

Answer:

$( \frac{1}{2} + \frac{2}{3} + \frac{3}{4} ) - \frac{5}{12} \\ = ( \frac{6 + 8 + 9}{12} ) - \frac{5}{12} \\ = \frac{23 - 5}{12} \\ = \frac{18}{12} \\ = \frac{3}{2}$

Answer 2

Question :-

$\sf{ \bigg(\dfrac{1}{2}+ \dfrac{2}{3}+ \dfrac{3}{4} \bigg)- \dfrac{5}{12}= \: ?}$

Step-by-step explanation :-

$\mapsto\sf{ \bigg(\dfrac{1}{2}+ \dfrac{2}{3}+ \dfrac{3}{4} \bigg)- \dfrac{5}{12}} \\ \\ \mapsto\sf{ \bigg(\dfrac{(6 \times 1) + (4 \times 2) + (3 \times 3)}{12} \bigg)- \dfrac{5}{12}} \\ \\ \mapsto\sf{ \bigg(\dfrac{6 + 8 + 9}{12} \bigg)- \dfrac{5}{12}} \\ \\ \mapsto\sf{ \bigg(\dfrac{14+9}{12} \bigg)- \dfrac{5}{12}} \\ \\ \mapsto\sf{ \bigg(\dfrac{23}{12} \bigg)- \dfrac{5}{12}} \\ \\ \mapsto\sf{ \dfrac{23}{12} - \dfrac{5}{12}} \\ \\ \mapsto\sf{ \dfrac{23-5}{12}} \\ \\ \mapsto\sf{ \dfrac{18}{12}} \\ \\ \mapsto\sf{ \cancel{\dfrac{18}{12}}} \\ \\ \mapsto\sf{ \dfrac{3}{2}} \\ \\ \mapsto\sf{ 1\dfrac{1}{2}} \: \: \: \bigstar$

$\underline{\sf{ \large{Required \: \: Answer:}}}$

$\sf{ \: 1\dfrac{1}{2}} \: \: \: \: \: \bigstar$

More Information

Some properties of Addition of integers

• Closure property: For any two integers a and b, a + b is an integer.
• Commutative property: For any two integers a and b, a + b = b + a
• Associative property: For any three integers a, b and c, a + ( b + c ) = ( a + b ) + c
• Identity property: For any integer a, a + 0 = 0 + a = a
• Inverse property: If a is an integer, then there exists an integer -a such that a + ( - a ) = 0

Some properties of Subtraction of integer

• Closure property: If a and b are any two integers, then their difference, a - b or b - a will always be an integer.
• Commutative property: For any two integers a and b, a - b is not equal to b - a
• Associative property: For any three integers a, b and c, ( a - b ) - c is not equal to a - ( b - c )

Some properties of multiplication of integer

• Closure property: If a and b are integers, then a × b is also an integer.
• Commutative property: If a and b are two integers then, a × b = b × a
• Associative property: If a, b and c are three integers, then a × ( b × c ) = ( a × b ) × c
• Multiplicative identity: If a is an integer, then a × 1 = 1 × a
• Multiplication property of zero: If a is an integer then, a × 0 = 0 × a = 0

Some propertites of division of integers

• Closure property: If a and b are two integers, then a ÷ b is not an integer.
• Commutative property: If a and b are two integers, such that, a and b ≠ 0 , then a/b ≠ b/a
• Associative property: If a, b and c are three integers, ( a ÷ b ) ÷ c ≠ a ÷ ( b ÷ c )
• Division of an integer by itself: If a is any integer, then a ÷ a = 1, where a ≠ 0 and a ÷ 1 = a
• Division property by zero: If a ( a ≠ 0 ) is any integer, then, 0 ÷ a = 0