QuestionConvert the mixed number $2 \frac{7}{16}$ to a decimal using long division.

Studdy Solution

STEP 1

Assumptions1. We are given the mixed number $\frac{7}{16}$ . . We need to convert this mixed number into a decimal.
3. We will use long division to convert the fraction part to a decimal.

STEP 2

First, let's separate the whole number from the fraction in the mixed number.
The whole number is $2$ and the fraction is $\frac{7}{16}$ .

STEP 3

We will convert the fraction to a decimal by using long division.To do this, we divide the numerator of the fraction by the denominator.
$\frac{7}{16} =7 \div16$

STEP 4

Perform the long division. $7 \div16 =0.437$

STEP 5

Now, we combine the whole number and the decimal to get the decimal equivalent of the mixed number.
$2 \frac{7}{16} =2 +0.4375$

STEP 6

Perform the addition to get the final decimal.
$2 \frac{}{16} =2 +0.4375 =2.4375$ So, $2 \frac{}{16}$ as a decimal is $2.4375$ .

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QuestionConvert the mixed number $2 \frac{7}{16}$ to a decimal using long division.

Studdy Solution

STEP 1

Assumptions1. We are given the mixed number $\frac{7}{16}$ . . We need to convert this mixed number into a decimal.
3. We will use long division to convert the fraction part to a decimal.

STEP 2

First, let's separate the whole number from the fraction in the mixed number.
The whole number is $2$ and the fraction is $\frac{7}{16}$ .

STEP 3

We will convert the fraction to a decimal by using long division.To do this, we divide the numerator of the fraction by the denominator.
$\frac{7}{16} =7 \div16$

STEP 4

Perform the long division. $7 \div16 =0.437$

STEP 5

Now, we combine the whole number and the decimal to get the decimal equivalent of the mixed number.
$2 \frac{7}{16} =2 +0.4375$

STEP 6

Perform the addition to get the final decimal.
$2 \frac{}{16} =2 +0.4375 =2.4375$ So, $2 \frac{}{16}$ as a decimal is $2.4375$ .

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QuestionConvert the mixed number 27162 \frac{7}{16}2167​ to a decimal using long division.

Studdy Solution

STEP 1

Assumptions1. We are given the mixed number 716 \frac{7}{16}167​. . We need to convert this mixed number into a decimal.3. We will use long division to convert the fraction part to a decimal.

STEP 2

First, let's separate the whole number from the fraction in the mixed number.The whole number is 222 and the fraction is 716\frac{7}{16}167​.

STEP 3

We will convert the fraction to a decimal by using long division.To do this, we divide the numerator of the fraction by the denominator.716=7÷16\frac{7}{16} =7 \div16167​=7÷16

STEP 4

Perform the long division.7÷16=0.4377 \div16 =0.4377÷16=0.437

STEP 5

Now, we combine the whole number and the decimal to get the decimal equivalent of the mixed number.2716=2+0.43752 \frac{7}{16} =2 +0.43752167​=2+0.4375

STEP 6

Perform the addition to get the final decimal.216=2+0.4375=2.43752 \frac{}{16} =2 +0.4375 =2.4375216​=2+0.4375=2.4375So, 2162 \frac{}{16}216​ as a decimal is 2.43752.43752.4375.

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QuestionConvert the mixed number $2 \frac{7}{16}$ to a decimal using long division.

Assumptions1. We are given the mixed number $\frac{7}{16}$ . . We need to convert this mixed number into a decimal.
3. We will use long division to convert the fraction part to a decimal.

First, let's separate the whole number from the fraction in the mixed number.
The whole number is $2$ and the fraction is $\frac{7}{16}$ .

We will convert the fraction to a decimal by using long division.To do this, we divide the numerator of the fraction by the denominator.
$\frac{7}{16} =7 \div16$

Perform the long division. $7 \div16 =0.437$

Now, we combine the whole number and the decimal to get the decimal equivalent of the mixed number.
$2 \frac{7}{16} =2 +0.4375$

Perform the addition to get the final decimal.
$2 \frac{}{16} =2 +0.4375 =2.4375$ So, $2 \frac{}{16}$ as a decimal is $2.4375$ .