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Example1

Title: Fraction Multiplication

Grade Lesson s1-l7

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

Multiplication \$5 28/14\$ × \$3 24/16\$.

Step: 1

Firstly, convert the given mixed fractions into improper fractions i.e., multiply the denominator with the whole number and then add the resultant to the numerator.
⇒ \$5 28/14\$ = \$98/14\$
⇒ \$3 24/16\$ = \$72/16\$

$1a$

. https://uat-image.saibook.org/edu/math/psat/v4/psat-core/s1/l7/example1/1a.jpg

Explanation:

Converting \$5 28/14\$ into an improper fraction - Multiply 14 with 5 and then add the resultant to 28, and we get \$98/14\$. Converting \$3 24/16\$ into an improper fraction - Multiply 16 with 3 and then add the resultant to 24, and we get \$72/16\$.

Step: 2

Multiply the two improper fractions:
\$98/14\$ × \$72/16\$ = \$7056/224\$
Reduce by dividing 112 both the numerator and denominator:
\$7056/224 \div 112/112\$ = \$63/2\$.

$2a$

. https://uat-image.saibook.org/edu/math/psat/v4/psat-core/s1/l7/example1/2a.jpg

Explanation:

Multiply the numerator with the numerator and the denominator with the denominator. On cancellation of numerator and denominator values with 112, we get \$63/2\$.

Step: 3

To convert \$63/2\$ into a mixed number, divide 63 by 2, quotient(Whole number) is 31, remainder(numerator) is 1, & divisor(denominator) is 2 :
Mixed fraction = \$"Whole Number" + "Numerator"/"Denominator"\$
So, \$63/2\$ = \$31 1/2\$

$3a$

. https://uat-image.saibook.org/edu/math/psat/v4/psat-core/s1/l7/example1/3a.jpg

Explanation:

By dividing 63 by 4, we get 2 as the quotient and the remainder as 1. Therefore, the mixed fraction is \$31 1/2\$.