The answer of -1/5 - (1/2 + -1/4) divided by 1/3 is [tex]-\frac{27}{20}[/tex]
- A formula is a statement containing at least two numbers/variables and at least one mathematical operation.
- An expression is a combination of terms combined by mathematical operations such as subtraction, addition, multiplication, and division.The terms that appear in the formula are:- Constant: A constant is a fixed number.
- Variables: Variables are symbols that do not have fixed values.
- Term: A term can be a single constant, a single variable, or a combination of variables and constants combined with multiplication or division.
- Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
We have given an expression [tex]-\frac{1}{5}-(\frac{1}{2} +(-\frac{1}{4} ))[/tex] .
On simplifying , we get
[tex]-\frac{1}{5}-(\frac{1}{2} +(-\frac{1}{4} ))=-\frac{1}{5}-(\frac{1}{2} -\frac{1}{4} )\\\\-\frac{1}{5}-(\frac{1}{2} +(-\frac{1}{4} ))= - \frac{1}{5}-(\frac{2-1}{4} )\\\\\-\frac{1}{5}-(\frac{1}{2} +(-\frac{1}{4} ))= - \frac{1}{5}-\frac{1}{4} \\\\-\frac{1}{5}-(\frac{1}{2} +(-\frac{1}{4} ))=\frac{-4-5}{20} \\\\-\frac{1}{5}-(\frac{1}{2} +(-\frac{1}{4} ))=\frac{-9}{20}[/tex]
Now , we are asked to divide -9 /20 by 1 /3 .
On dividing, we get
[tex]\frac{\frac{-9}{20} }{\frac{1}{3} } =\frac{-9}{20} \times\frac{3}{1} \\\\=\frac{-27}{20}[/tex]
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