Math / Numbers & Operations

Question $\frac{40}{100}-\frac{1}{10}$

Studdy Solution

STEP 1

1. We are performing a subtraction operation between two fractions.
2. The fractions involved are $\frac{40}{100}$ and $\frac{1}{10}$ .
3. We need to find a common denominator to perform the subtraction.

STEP 2

1. Simplify the fractions if possible.
2. Find a common denominator.
3. Subtract the fractions.
4. Simplify the result if necessary.

STEP 3

Simplify the fraction $\frac{40}{100}$ .
$\frac{40}{100} = \frac{4}{10} = \frac{2}{5}$

STEP 4

Identify the least common denominator (LCD) for $\frac{2}{5}$ and $\frac{1}{10}$ .
The denominators are $5$ and $10$ . The LCD is $10$ .

STEP 5

Convert $\frac{2}{5}$ to an equivalent fraction with a denominator of $10$ .
$\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}$

STEP 6

Subtract $\frac{1}{10}$ from $\frac{4}{10}$ .
$\frac{4}{10} - \frac{1}{10} = \frac{4 - 1}{10} = \frac{3}{10}$

STEP 7

Check if the result $\frac{3}{10}$ can be simplified further.
Since $3$ and $10$ have no common factors other than $1$ , $\frac{3}{10}$ is already in its simplest form.
The result of the subtraction is:
$\boxed{\frac{3}{10}}$

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Question $\frac{40}{100}-\frac{1}{10}$

Studdy Solution

STEP 1

1. We are performing a subtraction operation between two fractions.
2. The fractions involved are $\frac{40}{100}$ and $\frac{1}{10}$ .
3. We need to find a common denominator to perform the subtraction.

STEP 2

1. Simplify the fractions if possible.
2. Find a common denominator.
3. Subtract the fractions.
4. Simplify the result if necessary.

STEP 3

Simplify the fraction $\frac{40}{100}$ .
$\frac{40}{100} = \frac{4}{10} = \frac{2}{5}$

STEP 4

Identify the least common denominator (LCD) for $\frac{2}{5}$ and $\frac{1}{10}$ .
The denominators are $5$ and $10$ . The LCD is $10$ .

STEP 5

Convert $\frac{2}{5}$ to an equivalent fraction with a denominator of $10$ .
$\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}$

STEP 6

Subtract $\frac{1}{10}$ from $\frac{4}{10}$ .
$\frac{4}{10} - \frac{1}{10} = \frac{4 - 1}{10} = \frac{3}{10}$

STEP 7

Check if the result $\frac{3}{10}$ can be simplified further.
Since $3$ and $10$ have no common factors other than $1$ , $\frac{3}{10}$ is already in its simplest form.
The result of the subtraction is:
$\boxed{\frac{3}{10}}$

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Question40100−110\frac{40}{100}-\frac{1}{10}10040​−101​

Studdy Solution

STEP 1

1. We are performing a subtraction operation between two fractions.2. The fractions involved are 40100\frac{40}{100}10040​ and 110\frac{1}{10}101​.3. We need to find a common denominator to perform the subtraction.

STEP 2

1. Simplify the fractions if possible.2. Find a common denominator.3. Subtract the fractions.4. Simplify the result if necessary.

STEP 3

Simplify the fraction 40100\frac{40}{100}10040​.40100=410=25\frac{40}{100} = \frac{4}{10} = \frac{2}{5}10040​=104​=52​

STEP 4

Identify the least common denominator (LCD) for 25\frac{2}{5}52​ and 110\frac{1}{10}101​.The denominators are 555 and 101010. The LCD is 101010.

STEP 5

Convert 25\frac{2}{5}52​ to an equivalent fraction with a denominator of 101010.25=2×25×2=410\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}52​=5×22×2​=104​

STEP 6

Subtract 110\frac{1}{10}101​ from 410\frac{4}{10}104​.410−110=4−110=310\frac{4}{10} - \frac{1}{10} = \frac{4 - 1}{10} = \frac{3}{10}104​−101​=104−1​=103​

STEP 7

Check if the result 310\frac{3}{10}103​ can be simplified further.Since 333 and 101010 have no common factors other than 111, 310\frac{3}{10}103​ is already in its simplest form. The result of the subtraction is:310\boxed{\frac{3}{10}}103​​

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Question $\frac{40}{100}-\frac{1}{10}$

1. We are performing a subtraction operation between two fractions.
2. The fractions involved are $\frac{40}{100}$ and $\frac{1}{10}$ .
3. We need to find a common denominator to perform the subtraction.

1. Simplify the fractions if possible.
2. Find a common denominator.
3. Subtract the fractions.
4. Simplify the result if necessary.

Simplify the fraction $\frac{40}{100}$ .
$\frac{40}{100} = \frac{4}{10} = \frac{2}{5}$

Identify the least common denominator (LCD) for $\frac{2}{5}$ and $\frac{1}{10}$ .
The denominators are $5$ and $10$ . The LCD is $10$ .

Convert $\frac{2}{5}$ to an equivalent fraction with a denominator of $10$ .
$\frac{2}{5} = \frac{2 \times 2}{5 \times 2} = \frac{4}{10}$

Subtract $\frac{1}{10}$ from $\frac{4}{10}$ .
$\frac{4}{10} - \frac{1}{10} = \frac{4 - 1}{10} = \frac{3}{10}$

Check if the result $\frac{3}{10}$ can be simplified further.
Since $3$ and $10$ have no common factors other than $1$ , $\frac{3}{10}$ is already in its simplest form.
The result of the subtraction is:
$\boxed{\frac{3}{10}}$