Example

Title: Decimals

Grade: Core-SAT3 Lesson: S2-P1

Explanation: The best way to understand SAT-3 is by looking at some examples. Take turns and read each example for easy understanding.

Examples:

Convert \$2 4/5\$ into a decimal.

Step 1a

The first step to changing \$2 4/5\$ into a decimal is to change it to an improper fraction.

To do that, we need to multiply 2 by 5 and add its product to 4 in the numerator to get: \$14/5\$.

Explanation: To change fractions into decimals first, we have to change mixed fractions into improper fractions.
To do that, we need to multiply the denominator(5) with a whole number (2) and add its product to the numerator(4) then we get, \$14/5\$.

Step 1b

To convert fractions to decimals, you can use the division method.
Simply divide the numerator by the denominator.

Explanation: In this step, convert \$14/5\$ to a decimal is by using the division method. Divide the numerator, which is 14, by the denominator, which is 5. The result of the division is 2.8.

Solve the equation \$4/9 × 11/8 ÷ 5/3\$.

Step 2a

First, multiply the fractions \$4/9\$ and \$11/8\$. The result of this calculation is \$44/72\$.

Explanation: To complete this step, begin by multiplying the fractions. The result is \$44/72\$.

Step 2b

Now,divide the resultant fraction to \$5/3\$.The result we get \$11/30\$.

Explanation: After divide the fraction and the result, we get \$11/30\$

Step 2c

Hence the decimal number after dividing the resultant fraction \$11/30\$ = 0.366.

Explanation: To get the decimal equivalent of the fraction \$11/30\$, divide it and the result is 0.366.


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