Solve: 2/4 + (2/5 × 5/4) - 0.2 + 0.4 Step-by-Step

Let's break down the given expression step by step by following the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

The expression given is:

$\frac{2}{4}+\frac{2}{5}\times\frac{5}{4}-0.2+0.4=$

1. Simplifying Fractions: Simplify the fraction $\frac{2}{4}$:

• $\frac{2}{4} = \frac{1}{2}$

So, the expression becomes:

$\frac{1}{2}+\frac{2}{5}\times\frac{5}{4}-0.2+0.4$

2. Multiplication of Fractions: Perform the multiplication before heading into addition and subtraction.

• $\frac{2}{5} \times \frac{5}{4} = \frac{2 \times 5}{5 \times 4} = \frac{10}{20} = \frac{1}{2}$

The expression now looks like:

$\frac{1}{2} + \frac{1}{2} - 0.2 + 0.4$

3. Addition of Fractions and Decimals: Add$\frac{1}{2}$and $\frac{1}{2}$:

• $\frac{1}{2} + \frac{1}{2} = 1$

With this result, add to the decimals:

$1 - 0.2 + 0.4$

4. Perform Addition and Subtraction of Decimals: Let's calculate from left to right:

• $1 - 0.2 = 0.8$

• $0.8 + 0.4 = 1.2$

Thus, the result of $\frac{2}{4}+\frac{2}{5}\times\frac{5}{4}-0.2+0.4$ is $1.2$