Math / Numbers & Operations

QuestionMultiply. Write your answer as a fraction or as a whole or mixed number. $\frac{15}{19} \times 57=$ $\square$ Submit

Studdy Solution

STEP 1

1. We need to multiply a fraction by a whole number.
2. The fraction is $\frac{15}{19}$ .
3. The whole number is $57$ .
4. The result should be expressed as a fraction, whole number, or mixed number.

STEP 2

1. Convert the whole number to a fraction.
2. Multiply the fractions.
3. Simplify the result if possible.
4. Convert the result to a mixed number if necessary.

STEP 3

Convert the whole number $57$ to a fraction by writing it as $\frac{57}{1}$ .

STEP 4

Multiply the fractions $\frac{15}{19}$ and $\frac{57}{1}$ .
$\frac{15}{19} \times \frac{57}{1} = \frac{15 \times 57}{19 \times 1}$
Calculate the numerator:
$15 \times 57 = 855$
The fraction becomes:
$\frac{855}{19}$

STEP 5

Check if the fraction $\frac{855}{19}$ can be simplified.
Since $855$ and $19$ have no common factors other than $1$ , the fraction is already in its simplest form.

STEP 6

Convert $\frac{855}{19}$ to a mixed number.
Divide $855$ by $19$ :
$855 \div 19 = 45 \text{ remainder } 0$
So, $\frac{855}{19} = 45$ .
The answer is:
$\boxed{45}$

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QuestionMultiply. Write your answer as a fraction or as a whole or mixed number. $\frac{15}{19} \times 57=$ $\square$ Submit

Studdy Solution

STEP 1

1. We need to multiply a fraction by a whole number.
2. The fraction is $\frac{15}{19}$ .
3. The whole number is $57$ .
4. The result should be expressed as a fraction, whole number, or mixed number.

STEP 2

1. Convert the whole number to a fraction.
2. Multiply the fractions.
3. Simplify the result if possible.
4. Convert the result to a mixed number if necessary.

STEP 3

Convert the whole number $57$ to a fraction by writing it as $\frac{57}{1}$ .

STEP 4

Multiply the fractions $\frac{15}{19}$ and $\frac{57}{1}$ .
$\frac{15}{19} \times \frac{57}{1} = \frac{15 \times 57}{19 \times 1}$
Calculate the numerator:
$15 \times 57 = 855$
The fraction becomes:
$\frac{855}{19}$

STEP 5

Check if the fraction $\frac{855}{19}$ can be simplified.
Since $855$ and $19$ have no common factors other than $1$ , the fraction is already in its simplest form.

STEP 6

Convert $\frac{855}{19}$ to a mixed number.
Divide $855$ by $19$ :
$855 \div 19 = 45 \text{ remainder } 0$
So, $\frac{855}{19} = 45$ .
The answer is:
$\boxed{45}$

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QuestionMultiply. Write your answer as a fraction or as a whole or mixed number. 1519×57=\frac{15}{19} \times 57=1915​×57= □\square□ Submit

Studdy Solution

STEP 1

1. We need to multiply a fraction by a whole number.2. The fraction is 1519\frac{15}{19}1915​.3. The whole number is 575757.4. The result should be expressed as a fraction, whole number, or mixed number.

STEP 2

1. Convert the whole number to a fraction.2. Multiply the fractions.3. Simplify the result if possible.4. Convert the result to a mixed number if necessary.

STEP 3

Convert the whole number 575757 to a fraction by writing it as 571\frac{57}{1}157​.

STEP 4

STEP 5

Check if the fraction 85519\frac{855}{19}19855​ can be simplified.Since 855855855 and 191919 have no common factors other than 111, the fraction is already in its simplest form.

STEP 6

Convert 85519\frac{855}{19}19855​ to a mixed number.Divide 855855855 by 191919:855÷19=45 remainder 0 855 \div 19 = 45 \text{ remainder } 0 855÷19=45 remainder 0So, 85519=45\frac{855}{19} = 4519855​=45. The answer is:45\boxed{45}45​

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionMultiply. Write your answer as a fraction or as a whole or mixed number. $\frac{15}{19} \times 57=$ $\square$ Submit

1. We need to multiply a fraction by a whole number.
2. The fraction is $\frac{15}{19}$ .
3. The whole number is $57$ .
4. The result should be expressed as a fraction, whole number, or mixed number.

1. Convert the whole number to a fraction.
2. Multiply the fractions.
3. Simplify the result if possible.
4. Convert the result to a mixed number if necessary.

Convert the whole number $57$ to a fraction by writing it as $\frac{57}{1}$ .

Check if the fraction $\frac{855}{19}$ can be simplified.
Since $855$ and $19$ have no common factors other than $1$ , the fraction is already in its simplest form.

Convert $\frac{855}{19}$ to a mixed number.
Divide $855$ by $19$ :
$855 \div 19 = 45 \text{ remainder } 0$
So, $\frac{855}{19} = 45$ .
The answer is:
$\boxed{45}$