QuestionCalculate the product of $\frac{4}{30}$ and $\frac{2}{5}$ .

Studdy Solution

STEP 1

Assumptions1. We are multiplying two fractions together. . The multiplication of fractions involves multiplying the numerators together to get the new numerator and multiplying the denominators together to get the new denominator.

STEP 2

We can write the multiplication of the two fractions as follows $\frac{4}{30} \times \frac{2}{5}$

STEP 3

Next, we multiply the numerators together to get the new numerator. $umerator = \times2$

STEP 4

Calculate the value of the numerator.
$umerator =4 \times2 =8$

STEP 5

Then, we multiply the denominators together to get the new denominator.
$Denominator =30 \times5$

STEP 6

Calculate the value of the denominator.
$Denominator =30 \times5 =150$

STEP 7

Now, we can write the result of the multiplication as a new fraction with the calculated numerator and denominator.
$\frac{4}{30} \times \frac{2}{5} = \frac{}{150}$

STEP 8

The last step is to simplify the fraction if possible. In this case, both the numerator and the denominator can be divided by2.
$\frac{8}{150} = \frac{8 \div2}{150 \div2}$

STEP 9

Calculate the simplified fraction.
$\frac{8}{150} = \frac{4}{75}$ So, $\frac{4}{30} \times \frac{2}{5} = \frac{4}{75}$ .

Was this helpful?

QuestionCalculate the product of $\frac{4}{30}$ and $\frac{2}{5}$ .

Studdy Solution

STEP 1

Assumptions1. We are multiplying two fractions together. . The multiplication of fractions involves multiplying the numerators together to get the new numerator and multiplying the denominators together to get the new denominator.

STEP 2

We can write the multiplication of the two fractions as follows $\frac{4}{30} \times \frac{2}{5}$

STEP 3

Next, we multiply the numerators together to get the new numerator. $umerator = \times2$

STEP 4

Calculate the value of the numerator.
$umerator =4 \times2 =8$

STEP 5

Then, we multiply the denominators together to get the new denominator.
$Denominator =30 \times5$

STEP 6

Calculate the value of the denominator.
$Denominator =30 \times5 =150$

STEP 7

Now, we can write the result of the multiplication as a new fraction with the calculated numerator and denominator.
$\frac{4}{30} \times \frac{2}{5} = \frac{}{150}$

STEP 8

The last step is to simplify the fraction if possible. In this case, both the numerator and the denominator can be divided by2.
$\frac{8}{150} = \frac{8 \div2}{150 \div2}$

STEP 9

Calculate the simplified fraction.
$\frac{8}{150} = \frac{4}{75}$ So, $\frac{4}{30} \times \frac{2}{5} = \frac{4}{75}$ .

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionCalculate the product of 430\frac{4}{30}304​ and 25\frac{2}{5}52​.

Studdy Solution

STEP 1

Assumptions1. We are multiplying two fractions together. . The multiplication of fractions involves multiplying the numerators together to get the new numerator and multiplying the denominators together to get the new denominator.

STEP 2

We can write the multiplication of the two fractions as follows430×25\frac{4}{30} \times \frac{2}{5}304​×52​

STEP 3

Next, we multiply the numerators together to get the new numerator.umerator=×2umerator = \times2umerator=×2

STEP 4

Calculate the value of the numerator.umerator=4×2=8umerator =4 \times2 =8umerator=4×2=8

STEP 5

Then, we multiply the denominators together to get the new denominator.Denominator=30×5Denominator =30 \times5Denominator=30×5

STEP 6

Calculate the value of the denominator.Denominator=30×5=150Denominator =30 \times5 =150Denominator=30×5=150

STEP 7

Now, we can write the result of the multiplication as a new fraction with the calculated numerator and denominator.430×25=150\frac{4}{30} \times \frac{2}{5} = \frac{}{150}304​×52​=150​

STEP 8

The last step is to simplify the fraction if possible. In this case, both the numerator and the denominator can be divided by2.8150=8÷2150÷2\frac{8}{150} = \frac{8 \div2}{150 \div2}1508​=150÷28÷2​

STEP 9

Calculate the simplified fraction.8150=475\frac{8}{150} = \frac{4}{75}1508​=754​So, 430×25=475\frac{4}{30} \times \frac{2}{5} = \frac{4}{75}304​×52​=754​.

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionCalculate the product of $\frac{4}{30}$ and $\frac{2}{5}$ .

We can write the multiplication of the two fractions as follows $\frac{4}{30} \times \frac{2}{5}$

Next, we multiply the numerators together to get the new numerator. $umerator = \times2$

Calculate the value of the numerator.
$umerator =4 \times2 =8$

Then, we multiply the denominators together to get the new denominator.
$Denominator =30 \times5$

Calculate the value of the denominator.
$Denominator =30 \times5 =150$

Now, we can write the result of the multiplication as a new fraction with the calculated numerator and denominator.
$\frac{4}{30} \times \frac{2}{5} = \frac{}{150}$

The last step is to simplify the fraction if possible. In this case, both the numerator and the denominator can be divided by2.
$\frac{8}{150} = \frac{8 \div2}{150 \div2}$

Calculate the simplified fraction.
$\frac{8}{150} = \frac{4}{75}$ So, $\frac{4}{30} \times \frac{2}{5} = \frac{4}{75}$ .