Math / Numbers & Operations

QuestionWrite the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator $0.42: 0.30$

Studdy Solution

STEP 1

1. The given ratio is $0.42:0.30$ .
2. We need to express this ratio as a fraction in simplest form.
3. The fraction should have whole numbers in both the numerator and the denominator.

STEP 2

1. Write the ratio as a fraction.
2. Simplify the fraction.
3. Ensure the fraction is in simplest form with whole numbers.

STEP 3

Write the ratio $0.42:0.30$ as a fraction:
$\frac{0.42}{0.30}$

STEP 4

To remove the decimals, multiply both the numerator and the denominator by 100:
$\frac{0.42 \times 100}{0.30 \times 100} = \frac{42}{30}$

STEP 5

Simplify the fraction $\frac{42}{30}$ by finding the greatest common divisor (GCD) of 42 and 30, which is 6:
$\frac{42 \div 6}{30 \div 6} = \frac{7}{5}$
The simplest form of the ratio as a fraction is:
$\boxed{\frac{7}{5}}$

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QuestionWrite the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator $0.42: 0.30$

Studdy Solution

STEP 1

1. The given ratio is $0.42:0.30$ .
2. We need to express this ratio as a fraction in simplest form.
3. The fraction should have whole numbers in both the numerator and the denominator.

STEP 2

1. Write the ratio as a fraction.
2. Simplify the fraction.
3. Ensure the fraction is in simplest form with whole numbers.

STEP 3

Write the ratio $0.42:0.30$ as a fraction:
$\frac{0.42}{0.30}$

STEP 4

To remove the decimals, multiply both the numerator and the denominator by 100:
$\frac{0.42 \times 100}{0.30 \times 100} = \frac{42}{30}$

STEP 5

Simplify the fraction $\frac{42}{30}$ by finding the greatest common divisor (GCD) of 42 and 30, which is 6:
$\frac{42 \div 6}{30 \div 6} = \frac{7}{5}$
The simplest form of the ratio as a fraction is:
$\boxed{\frac{7}{5}}$

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QuestionWrite the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator 0.42:0.300.42: 0.300.42:0.30

Studdy Solution

STEP 1

1. The given ratio is 0.42:0.300.42:0.300.42:0.30.2. We need to express this ratio as a fraction in simplest form.3. The fraction should have whole numbers in both the numerator and the denominator.

STEP 2

1. Write the ratio as a fraction.2. Simplify the fraction.3. Ensure the fraction is in simplest form with whole numbers.

STEP 3

Write the ratio 0.42:0.300.42:0.300.42:0.30 as a fraction:0.420.30\frac{0.42}{0.30}0.300.42​

STEP 4

To remove the decimals, multiply both the numerator and the denominator by 100:0.42×1000.30×100=4230\frac{0.42 \times 100}{0.30 \times 100} = \frac{42}{30}0.30×1000.42×100​=3042​

STEP 5

Simplify the fraction 4230\frac{42}{30}3042​ by finding the greatest common divisor (GCD) of 42 and 30, which is 6:42÷630÷6=75\frac{42 \div 6}{30 \div 6} = \frac{7}{5}30÷642÷6​=57​ The simplest form of the ratio as a fraction is:75\boxed{\frac{7}{5}}57​​

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QuestionWrite the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator $0.42: 0.30$

1. The given ratio is $0.42:0.30$ .
2. We need to express this ratio as a fraction in simplest form.
3. The fraction should have whole numbers in both the numerator and the denominator.

1. Write the ratio as a fraction.
2. Simplify the fraction.
3. Ensure the fraction is in simplest form with whole numbers.

Write the ratio $0.42:0.30$ as a fraction:
$\frac{0.42}{0.30}$

To remove the decimals, multiply both the numerator and the denominator by 100:
$\frac{0.42 \times 100}{0.30 \times 100} = \frac{42}{30}$

Simplify the fraction $\frac{42}{30}$ by finding the greatest common divisor (GCD) of 42 and 30, which is 6:
$\frac{42 \div 6}{30 \div 6} = \frac{7}{5}$
The simplest form of the ratio as a fraction is:
$\boxed{\frac{7}{5}}$