Write the expression for each of the following using brackets and simplify.
Sum of thirty and forty-seven added to the quotient of $63$ and $9$ .

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Solution

Step 1: Conversion of word problem in to mathematical expression.
Sum of thirty and forty-seven added to the quotient of $63$ and $9$ .
According to the statement, Sum of thirty and forty-seven can be expressed as $= (30 + 47)$
Quotient of $63$ and $9$ $= 63 \div 9$ ,
Hence, Expression to given problem is $= (30 + 47) + 63 \div 9$
Step 2. Simplification of expression.
As we know the BODMAS rule which tells about the order in which we should solve these kind of expressions.
B stands for Bracket that means we have to solve the values which are in brackets.
O stand for OFF, Similarly D stands for Division, M stands for Multiplication, A stands for Addition and S stands for Sutraction.
These operations we should follow in sequence ie, first Bracket then Off then Division, then Addition and then Subtraction.
In given problem, we observe,
$(30 + 47) + 63 \div 9 = 77 + 63 \div 9 = 77 + 7 = 84$
Hence,Sum of thirty and forty-seven added to the quotient of $63$ and $9$ is $84$

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