Math / Numbers & Operations

Question $\frac{3}{5}-0.4$

Studdy Solution

STEP 1

1. We are given the expression $\frac{3}{5} - 0.4$ .
2. We need to perform the subtraction operation between a fraction and a decimal.

STEP 2

1. Convert the decimal to a fraction.
2. Perform the subtraction.
3. Simplify the result if necessary.

STEP 3

Convert the decimal $0.4$ to a fraction.
Since $0.4$ is equivalent to $\frac{4}{10}$ , simplify $\frac{4}{10}$ to $\frac{2}{5}$ .

STEP 4

Write the expression with both terms as fractions:
$\frac{3}{5} - \frac{2}{5}$
Since the denominators are the same, subtract the numerators:
$\frac{3 - 2}{5} = \frac{1}{5}$

STEP 5

The fraction $\frac{1}{5}$ is already in its simplest form, so no further simplification is needed.
The result of the subtraction is:
$\boxed{\frac{1}{5}}$

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Question $\frac{3}{5}-0.4$

Studdy Solution

STEP 1

1. We are given the expression $\frac{3}{5} - 0.4$ .
2. We need to perform the subtraction operation between a fraction and a decimal.

STEP 2

1. Convert the decimal to a fraction.
2. Perform the subtraction.
3. Simplify the result if necessary.

STEP 3

Convert the decimal $0.4$ to a fraction.
Since $0.4$ is equivalent to $\frac{4}{10}$ , simplify $\frac{4}{10}$ to $\frac{2}{5}$ .

STEP 4

Write the expression with both terms as fractions:
$\frac{3}{5} - \frac{2}{5}$
Since the denominators are the same, subtract the numerators:
$\frac{3 - 2}{5} = \frac{1}{5}$

STEP 5

The fraction $\frac{1}{5}$ is already in its simplest form, so no further simplification is needed.
The result of the subtraction is:
$\boxed{\frac{1}{5}}$

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Question35−0.4\frac{3}{5}-0.453​−0.4

Studdy Solution

STEP 1

1. We are given the expression 35−0.4\frac{3}{5} - 0.453​−0.4.2. We need to perform the subtraction operation between a fraction and a decimal.

STEP 2

1. Convert the decimal to a fraction.2. Perform the subtraction.3. Simplify the result if necessary.

STEP 3

Convert the decimal 0.40.40.4 to a fraction. Since 0.40.40.4 is equivalent to 410\frac{4}{10}104​, simplify 410\frac{4}{10}104​ to 25\frac{2}{5}52​.

STEP 4

Write the expression with both terms as fractions:35−25\frac{3}{5} - \frac{2}{5}53​−52​Since the denominators are the same, subtract the numerators:3−25=15\frac{3 - 2}{5} = \frac{1}{5}53−2​=51​

STEP 5

The fraction 15\frac{1}{5}51​ is already in its simplest form, so no further simplification is needed. The result of the subtraction is:15\boxed{\frac{1}{5}}51​​

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Question $\frac{3}{5}-0.4$

1. We are given the expression $\frac{3}{5} - 0.4$ .
2. We need to perform the subtraction operation between a fraction and a decimal.

1. Convert the decimal to a fraction.
2. Perform the subtraction.
3. Simplify the result if necessary.

Convert the decimal $0.4$ to a fraction.
Since $0.4$ is equivalent to $\frac{4}{10}$ , simplify $\frac{4}{10}$ to $\frac{2}{5}$ .

Write the expression with both terms as fractions:
$\frac{3}{5} - \frac{2}{5}$
Since the denominators are the same, subtract the numerators:
$\frac{3 - 2}{5} = \frac{1}{5}$

The fraction $\frac{1}{5}$ is already in its simplest form, so no further simplification is needed.
The result of the subtraction is:
$\boxed{\frac{1}{5}}$