SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Example

Title: Improper Fraction into Mixed Fraction

Grade: 5-a Lesson: S1-L6

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:

Covert \$430/13\$ into a mixed fraction.

Step 1a

The given fraction is \$430/13\$.

$1a$

Explanation: The given fraction is \$430/13\$, which is an improper fraction.

Now, we have to convert this improper fraction into a mixed fraction.

Step 1b

In the first step, divide the numerator by the denominator.

Hence, the numerator is 430, and the denominator is 13.

$1b$

Explanation: In this step, we must divide the numerator by the denominator.

Here, the dividend is 430, and the divisor is 13.

430 is not divisible by 13, but since 13 x 33 = 429. We go for subtracting 430 - 429 = 1.

We get the quotient as 33 and the remainder as 1.

Step 1c

Moving to the next step, the quotient becomes the whole number, and the remainder becomes the new numerator while the denominator remains the same.

$1c$

Explanation: In this step, the denominator is 13, and the quotient is 33, with a remainder of 1.

Step 1d

Now, we combine the whole number and fraction parts and get a mixed fraction represented as a \$33 1/13\$.

$1d$

Explanation: Finally, by combining a whole number and a fraction, we get a mixed fraction represented as \$33 1/13\$.