SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Example

Title: Conversion of Mixed Fraction into Decimal

Grade: 5-a Lesson: S1-L3

Explanation: Hello Students, time to learn examples. Let us take turns and read each example. Explain each step. Pay special attention to steps and pictures and communicate in your own words.

Examples: Convert the stem [15 23/8] into decimal form.

Step 1a

The given mixed fraction is \$15 23/8\$.

15 is a whole number, and \$23/8\$ is a fraction.

$1a$

Explanation: In this step, the given mixed fraction is \$15 23/8\$. 15 is a whole number and 23/8 is a fraction.

Step 1b

First, convert mixed fractions into an improper fractions by multiplying the denominator with the whole number

i.e,15 x 8 = 120

$1b$

Explanation: In this step, to transform mixed fractions into improper fractions, multiply the denominator by the whole number. For this instance, 15 x 8 = 120.

Step 1c

Next, add the new product to the numerator, i.e., 120 + 23 = 143.

So, then the improper fraction is [143/8].

$1c$

Explanation: In this step, add 23 to 120 to get the sum of 143. This gives us the improper fraction \$143/8\$.

Step 1d

Finally, to convert improper fractions into a decimal, simply use the normal division method: \$143/8\$ = 17.87.

$1d$

Explanation: In this step, an improper fraction is converted to a decimal. For instance, if you have \$143/8\$, simply divide the numerator by the denominator to get the decimal form, which in this case is 17.87.

Step 1e

So, \$15 23/8\$ in decimal form is 17.87.

$1e$

Explanation: Hence, \$15 23/8\$ in decimal form is 17.87.