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Example1

Title: Fraction Division

Grade Lesson s1-l8

Explanation: The best way to understand SAT-4 is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1

Division \$5 24/36\$ ÷ \$4 15/13\$.

Step: 1

First, convert the given mixed fractions into improper fractions.
Now multiply the denominator with a whole number and add the answer to the numerator:
⇒\$5 24/36\$ = \$204/36\$
⇒\$4 15/13\$ = \$67/13\$.

$1a$

. https://uat-image.saibook.org/edu/math/psat/v4/psat-core/s1/l8/example1/1a.jpg

Explanation:

Now multiply 5 by 36 and add 24. We get 204. Now multiply 3 by 16 and add 24. We get 67. we get the fractions to \$204/36 ÷ 67/13\$.

Step: 2

Division of fractions is equivalent to multiplying by the reciprocal:
\$204/36 ÷ 67/13\$ = \$204/36 \times 13/67\$

$2a$

. https://uat-image.saibook.org/edu/math/psat/v4/psat-core/s1/l8/example1/2a.jpg

Explanation:

Division of fractions is equivalent to multiplying the first fraction by the reciprocal of the second fraction.

Step: 3

Multiply \$(204 × 13)/(36 × 67 )\$ = \$2652/2412\$.
Simplify \$2652/2412\$, finding the greatest common divisor (GCD) of 2652 and 2412, which is 12. Divide both the numerator and the denominator by 12:
\$2652/2412\$ = \$221/201\$.

$3a$

. https://uat-image.saibook.org/edu/math/psat/v4/psat-core/s1/l8/example1/3a.jpg

Explanation:

Multiply the numerators (top numbers) together and the denominators (bottom numbers) together, and then we get \$2652/2412\$. On cancellation of numerator and denominator values with 12, we get \$221/201\$.

Step: 4

To convert \$221/201\$ into a mixed number, divide 221 by 201, quotient(Whole number) is 1, remainder(numerator) is 20, & divisor(denominator) is 201 :
Mixed fraction = \$"Whole Number" + "Numerator"/"Denominator"\$
So, \$221/201\$ = \$1 20/201\$

$4a$

. https://uat-image.saibook.org/edu/math/psat/v4/psat-core/s1/l8/example1/4a.jpg

Explanation:

By dividing 221 by 201, we get 1 as the quotient and the remainder as 20. Therefore, the mixed fraction is \$1 20/201\$.