SaiBook.us SAT-3

Lesson Example Discussion Quiz: Class Homework

Example

Title: Fractions

Grade: Core-SAT3 Lesson: S1-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:

Write an equivalent fraction to the given fraction \$2/3\$ = \$? / __\$

Step 1a

Given equivalent fraction
\$2/3\$=\$?/12\$

$1a$

Explanation: In this step, the given fraction is \$2/3\$ = \$-/12\$. To find an equivalent fraction of 2/3 with a denominator of 12, multiply both the numerator and denominator by the same number.

Step 1b

To find what number you can multiply 3 by to get 12. That number is 4.
Number to multiply = \$12/3 = 4\$

$1b$

Explanation: To convert \$2/3\$ to an equivalent fraction with a denominator of 12, you need to divide 12 by the current denominator (3) i.e., \$12/3 = 4\$

Step 1c

Now, multiply both the numerator and denominator of \$2/3\$ by 4:
\$2/3 \times 4/4 = 8/12\$
So,\$2/3\$is equivalent to \$8/12\$ when the denominator is 12.

$1c$

Explanation: In this step,here by multiplying 2 and 4, we get 8 and by multiplying 3 and 4, we get 12 So,\$2/3\$ is equivalent to \$8/12\$

Convert improper fraction \$33/8\$ into a mixed fraction.

Step 2a

Given Improper Fraction \$33/8\$.

Firstly,Divide the numerator 33 by the 8 denominator.

$2a$

Explanation: In this step, we have an improper fraction \$33/8\$.Here, divide the numerator (33) by the denominator (8) to get the whole number part and the remainderi.e., \$33/8\$.

Step 2b

By dividing, we get 4 as quotient(q), leaving the remainder(r) as 1.

Mixed Fraction = Whole Number + \$"Numerator" / "Denominator"\$.

$2b$

Explanation: Now, dividing 33 by 8, we get 4 as the quotient which is a whole number, 1 as the remainder, which is the numerator and 8 is denominator.

Hence, converting the improper fraction \$33/8\$ into a mixed fraction equals \$4 1/8\$.