Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Convert a fraction with a denominator of 10 to a decimal

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information
• Step 2: Convert the fractional part $\frac{3}{10}$ to a decimal
• Step 3: Combine the decimal with the whole number

Now, let's work through each step:
Step 1: We have the mixed number $4\frac{3}{10}$. The whole number is 4, and the fraction is $\frac{3}{10}$.
Step 2: Convert $\frac{3}{10}$ to a decimal. Since the fraction's denominator is 10, you can directly convert the numerator to a decimal. $\frac{3}{10} = 0.3$.
Step 3: Combine the whole number 4 with the decimal 0.3. The mixed number $4\frac{3}{10}$ in decimal form is $4.3$.

Therefore, the solution to the problem is $4.3$.

To solve this problem, we'll convert the mixed number $2\frac{3}{10}$ into a decimal form.

• Step 1: Convert the fractional part $\frac{3}{10}$ to a decimal. Since the denominator is 10, we convert it directly: $\frac{3}{10} = 0.3$.
• Step 2: Combine the whole number and the decimal fraction. The whole number is $2$, so adding the decimal gives us $2 + 0.3 = 2.3$.
• Step 3: Check against the answer choices provided. The correct decimal equivalent of $2\frac{3}{10}$ is $2.3$ which matches choice number 3.

Therefore, the solution to the problem is $\text{2}.3$.

To solve this problem, we'll convert the mixed number $8\frac{1}{10}$ to its decimal form by converting the fractional part $\frac{1}{10}$ and adding it to the integer part.

• Step 1: Convert the fraction $\frac{1}{10}$ to a decimal. Since the denominator is 10, $\frac{1}{10}$ is equivalent to 0.1 in decimal form.
• Step 2: Add the decimal result $0.1$ to the integer part $8$. This gives us $8 + 0.1 = 8.1$.

Therefore, the solution to the problem is $8.1$, corresponding to choice 2.

To solve this problem, we'll follow these steps:

• Step 1: Convert the fractional part $\frac{1}{10}$ to a decimal.
• Step 2: Add the decimal to the whole number part.

Let's work through each step:

Step 1: Convert the fractional part.
The fraction $\frac{1}{10}$ can be converted to a decimal because its denominator is 10. This means $\frac{1}{10} = 0.1$.

Step 2: Add this decimal value to the whole number.
The original mixed number is $2 \frac{1}{10}$. We now add $2$ (the whole number) and $0.1$ (the decimal equivalent of the fraction):
$2 + 0.1 = 2.1$.

Therefore, the solution to the problem is $2.1$.

To solve this problem, we'll convert the mixed number $9\frac{3}{10}$ into a decimal:

• The mixed number has a whole part $9$ and a fractional part $\frac{3}{10}$.
• To convert the fractional part $\frac{3}{10}$ to a decimal, recognize it as $0.3$, because when a fraction's denominator is 10, the numerator directly represents the portion to the right of the decimal point.
• Now add the decimal form of the fraction to the whole number:
  $9 + 0.3 = 9.3$.

Therefore, the solution to the problem is $\mathbf{9.3}$.

To solve this problem, we'll follow these steps:

• Step 1: Identify the given mixed number: $5\frac{1}{5}$.
• Step 2: Convert the fractional part $\frac{1}{5}$ into a decimal by performing the division $1 \div 5$.
• Step 3: Add the resulting decimal to the integer part 5.

Now, let's work through each step:
Step 1: The problem gives us the mixed number $5\frac{1}{5}$.
Step 2: To convert $\frac{1}{5}$ to a decimal, calculate $1 \div 5 = 0.2$.
Step 3: Combine this decimal with the integer part: $5 + 0.2 = 5.2$.

Therefore, the solution to the problem is $5.2$.

First let's write the simple fraction as a decimal fraction:

$12.0$

Since the fraction is divisible by 10, we can move the decimal point one place to the left to obtain:

$1.20=1.2$

Let's write the simple fraction as a decimal fraction

$2.0$

Since the fraction divides by 10, we'll move the decimal point one place to the left and get:

$.2$

We'll complete the zero before the decimal point and get:

$0.2$

First let's rewrite the simple fraction as a decimal fraction:

$17.0$

Since the fraction is divisible by 10, we can move the decimal point one place to the left to get:

$1.70=1.7$

First let's rewrite the simple fraction as a decimal fraction:

$15.0$

Since the fraction is divisible by 10, we can move the decimal point one place to the left to obtain:

$1.50=1.5$

Let's write the simple fraction as a decimal fraction

$3.0$

Since the fraction is divisible by 10, we will move the decimal point one place to the left and get:

$.3$

We'll add the zero before the decimal point and get:

$0.3$

Let's write the simple fraction as a decimal fraction

$6.0$

Since the fraction is divisible by 10, we will move the decimal point one place to the left and get:

$.6$

We'll add the zero before the decimal point and get:

$0.6$

Let's write the simple fraction as a decimal fraction

$8.0$

Since the fraction divides by 10, we'll move the decimal point one place to the left and get:

$.8$

We'll add the zero before the decimal point and get:

$0.8$

First let's rewrite the simple fraction as a decimal fraction:

$93.0$

Since the fraction is divisible by 10, we can move the decimal point one place to the left to obtain:

$9.30=9.3$

First let's rewrite the simple fraction as a decimal fraction:

$14.0$

Since the fraction is divisible by 10, we can move the decimal point once to the left to get:

$1.40=1.4$

First let's rewrite the simple fraction as a decimal fraction:

$45.0$

Since the fraction is divisible by 10, we can move the decimal point one place to the left to obtain:

$4.50=4.5$

Write the simple fraction in decimal form

$7.0$

Since the fraction is divisible by 10, move the decimal point one place to the left and get:

$.7$

Let's add the zero to the left of the decimal point and get:

$0.7$

Write the simple fraction in decimal form

$5.0$

Since the fraction is divided by 10, move the decimal point one place to the left and get:

$.5$

Complete the zero to the left of the decimal point and get:

$0.5$

Let's write the simple fraction as a decimal fraction

$4.0$

Since the fraction divides by 10, we'll move the decimal point one place to the left and get:

$.4$

We'll complete the zero before the decimal point and get:

$0.4$

First let's write the simple fraction as a decimal fraction:

$22.0$

Since the fraction is divisible by 10, we'll can move the decimal point one place to the left to obtain:

$2.20=2.2$