Step-by-Step Evaluation of the Expression: 5 2 5 - 4 ÷ - 1 4 + 1 1 2

Let's evaluate the expression step-by-step:

Given expression: -5 × (0.3 + -0.9) - 2

Step 1: Simplify inside the parentheses: 0.3 + (-0.9) = 0.3 - 0.9 = -0.6

Step 2: Multiply: -5 × (-0.6) = 3

Step 3: Subtract 2: 3 - 2 = 1

Final answer: 1

Let's evaluate the expression step-by-step. The expression given appears to be:

2/5 + 1/2 ÷ 1/5 + 4/5

Step 1: Evaluate the division first (according to order of operations).

1/2 ÷ 1/5 = 1/2 × 5/1 = 5/2

Step 2: Now the expression becomes:

2/5 + 5/2 + 4/5

Step 3: Convert all fractions to have a common denominator to add them.

The denominators are 5, 2, and 5. The least common denominator (LCD) is 10.

Convert each fraction:

2/5 = 4/10 5/2 = 25/10 4/5 = 8/10

Step 4: Add all fractions:

4/10 + 25/10 + 8/10 = (4 + 25 + 8) / 10 = 37/10

Step 5: Simplify or convert to mixed number:

37 ÷ 10 = 3 remainder 7 So, 37/10 = 3 7/10

Final answer:

3 7/10 or 37/10

Let's evaluate the expression step-by-step:

The expression is:

2/5 + 1/2 ÷ 1/5 + 4/5

Step 1: Evaluate the division first (according to the order of operations):

1/2 ÷ 1/5 = 1/2 × 5/1 = 5/2

Step 2: Now the expression is:

2/5 + 5/2 + 4/5

Step 3: Add the fractions with like denominators first where possible.

Find a common denominator for 2/5 and 4/5, which is 5.

2/5 + 4/5 = (2 + 4)/5 = 6/5

Step 4: Now add 6/5 + 5/2.

Find the least common denominator (LCD) for 5 and 2, which is 10.

6/5 = 12/10 and 5/2 = 25/10

Add:

12/10 + 25/10 = 37/10

Step 5: Convert to a mixed number (optional):

37 ÷ 10 = 3 remainder 7

So, 37/10 = 3 7/10

Final answer:

"37/10" or "3 7/10"

Let's evaluate the expression step-by-step: 0.3 + 0.5 – 7 × 0.1

Step 1: Perform the multiplication first, according to the order of operations: 7 × 0.1 = 0.7

Step 2: Replace the multiplication part with its result: 0.3 + 0.5 – 0.7

Step 3: Add 0.3 and 0.5: 0.3 + 0.5 = 0.8

Step 4: Subtract 0.7 from 0.8: 0.8 – 0.7 = 0.1

Final answer: 0.1

Let's carefully interpret and evaluate the expression you provided:

The expression appears to be:

(1\;5 \div -\frac{3}{4} + -\frac{1}{2} - -\frac{1}{4})

Breaking down step-by-step:

Step 1: Understand the expression

• It looks like: 1 5 ÷ -3/4 + -1/2 - (-1/4) However, "1 5" seems ambiguous. Possibly you mean 15 (one and five), so consider it as 15.

So the expression simplifies to: [ 15 \div \left(-\frac{3}{4}\right) + \left(-\frac{1}{2}\right) - \left(-\frac{1}{4}\right) ]

Step 2: Evaluate the division [15 \div \left(-\frac{3}{4}\right) = 15 \times \left(-\frac{4}{3}\right) = -20]

Step 3: Simplify signs and subtraction [ -20 + \left(-\frac{1}{2}\right) - \left(-\frac{1}{4}\right) = -20 - \frac{1}{2} + \frac{1}{4} ]

Step 4: Combine the fractions Find common denominator for (\frac{1}{2}) and (\frac{1}{4}), which is 4. [ -\frac{1}{2} = -\frac{2}{4} ] [ -\frac{2}{4} + \frac{1}{4} = -\frac{1}{4} ]

Step 5: Add to -20 [ -20 - \frac{1}{4} = -\left(20 + \frac{1}{4}\right) = -20.25 = -\frac{81}{4} ]

Final answer: (-\frac{81}{4}) or as a mixed number: (-20 \frac{1}{4}).

If this interpretation is not what you intended, please provide the expression using clearer notation or parentheses.

Let's first interpret the expression clearly:

The expression seems to be:

( \frac{1}{5} \div -\frac{3}{4} + -\frac{1}{2} - -\frac{1}{4} )

We will evaluate this step-by-step.

Step 1: Evaluate the division

( \frac{1}{5} \div -\frac{3}{4} = \frac{1}{5} \times -\frac{4}{3} = -\frac{4}{15} )

So the expression becomes:

( -\frac{4}{15} + -\frac{1}{2} - -\frac{1}{4} )

Which simplifies to:

( -\frac{4}{15} - \frac{1}{2} + \frac{1}{4} )

Step 2: Find a common denominator to add and subtract fractions

The denominators are 15, 2, and 4. The least common denominator (LCD) is 60.

Convert each fraction:

( -\frac{4}{15} = -\frac{16}{60} )

( -\frac{1}{2} = -\frac{30}{60} )

( \frac{1}{4} = \frac{15}{60} )

Step 3: Perform the addition and subtraction

( (-16/60) + (-30/60) + (15/60) = (-16 - 30 + 15)/60 = (-31)/60 )

Step 4: Simplify the fraction

( -\frac{31}{60} ) cannot be simplified further.

Final Answer:

( -\frac{31}{60} )

This is the evaluated result of the expression you provided.

Let's interpret and evaluate the expression step-by-step:

The expression appears to be:

-1 × -0.1 - (-0.4 + 0.2)

Step 1: Evaluate the multiplication:

-1 × -0.1 = 0.1

Step 2: Evaluate the addition inside the parentheses:

-0.4 + 0.2 = -0.2

Because there is a minus sign before the parentheses, we subtract this result:

So, 0.1 - (-0.2) = 0.1 + 0.2 = 0.3

Final answer:

0.3

Let's evaluate the expression step-by-step:

The expression is: (-\frac{1}{2} \div -\frac{2}{3} \times \left(\frac{3}{5} + -\frac{2}{5}\right))

Step 1: Calculate the addition inside the parentheses: [\frac{3}{5} + -\frac{2}{5} = \frac{3-2}{5} = \frac{1}{5}]

Step 2: Calculate the division: [-\frac{1}{2} \div -\frac{2}{3} = -\frac{1}{2} \times -\frac{3}{2} = \frac{3}{4}] (Note: Dividing by a fraction is the same as multiplying by its reciprocal, and negative divided by negative is positive.)

Step 3: Multiply the results from Step 2 and Step 1: [\frac{3}{4} \times \frac{1}{5} = \frac{3}{20}]

Final answer: (\frac{3}{20})

So, the value of the expression is 3/20.

Let's evaluate the expression step-by-step:

The expression is: 1/3 + 2/3 + 1/2 × 1/4

Step 1: Multiply 1/2 by 1/4: 1/2 × 1/4 = 1 × 1 / (2 × 4) = 1/8

Step 2: Add the fractions: 1/3 + 2/3 + 1/8

First, add 1/3 and 2/3: 1/3 + 2/3 = (1 + 2)/3 = 3/3 = 1

Now add this result to 1/8: 1 + 1/8 = 1 1/8 = 9/8

Final answer: 9/8 or as a mixed number 1 1/8

Let's evaluate the expression step-by-step: 0.2 ÷ 4 – 0.3 ÷ 6

Step 1: Calculate 0.2 ÷ 4 0.2 ÷ 4 = 0.05

Step 2: Calculate 0.3 ÷ 6 0.3 ÷ 6 = 0.05

Step 3: Subtract the two results 0.05 – 0.05 = 0

Final Answer: 0