Answer:
7293/16 or 455 13/16
Step-by-step explanation:
To solve this problem, we need to remember the BPEMDAS.
Where:
- B = Brackets
- P = Parenthesis
- E = Exponents
- M = Multiplication
- D = Division
- A = Addition
- S = Subtraction
Solving the expression using PEMDAS:
[tex]\huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(}[2+5]2+\dfrac{16}{2} \huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(}[7]2+\dfrac{16}{2} \huge{\text{)}[/tex] [Brackets]
[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(} 7\times 2+\dfrac{16}{2} \huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(} 14+\dfrac{16}{2} \huge{\text{)}[/tex] [Parenthesis multiplication]
[tex]\rightarrow \huge{\text{(}1+20-\dfrac{9}{32}\huge{\text{)} \times \huge{\text{(} 14+8\huge{\text{)}[/tex]
[tex]\rightarrow \huge{\text{(}\dfrac{160}{160} +\dfrac{3200}{160} -\dfrac{45}{160}\huge{\text{)} \times \huge{\text{(} 22\huge{\text{)}[/tex] [Parenthesis Add]
[tex]\rightarrow \huge{\text{(}\dfrac{3315}{160}\huge{\text{)} \times \huge{\text{(} 22\huge{\text{)}[/tex] [Parenthesis Add/Subtract]
[tex]\rightarrow \dfrac{3315}{80} \times 11 = \dfrac{663}{16} \times 11[/tex]
[tex]\rightarrow \dfrac{7293}{16}[/tex] [Multiplication]
To avoid confusion, let's convert the fraction into mixed fraction. Refer to image attached.
