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Example1

Title: Decimal to Fraction

Grade Lesson s2-l1

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

Convert 0.45 into fraction.

Step: 1

Rewrite the decimal number as a fraction with 1 in the denominator.
\$0.45/1\$

$1a$

. https://uat-image.saibook.org/edu/math/psat/v4/psat-core/s2/l1/example1/1a.jpg

Explanation:

Now write the numerator as 0.45 with denominator 1.

Step: 2

Multiply to remove 2 decimal places. Here, multiply the top and bottom by \$(10)^2\$ = 100.
\$0.45/1 \times 100/100\$ = \$45/100\$
The greatest common divisor (GCD) of 45 and 100. The GCD is 5. Divide both numerator and denominator by 5:
\$45/100 \div 5/5\$ = \$ 9/20\$

$2a$

. https://uat-image.saibook.org/edu/math/psat/v4/psat-core/s2/l1/example1/2a.jpg

Explanation:

0.45 has two decimal places, so write it as: \$45/100\$. Now simplify the fraction. The greatest common divisor (GCD) of 45 and 100 is 5. Divide both the numerator and denominator by 5, \$9/20\$.