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Lesson Example Discussion Quiz: Class Homework

Lesson

Title: Fractions

Grade: Core-SAT3 Lesson: S1-P2

Explanation: Hello students, let us learn a new topic in SAT-3 today with definitions, concepts, examples, and worksheets included.

Lesson:

Definition: Addition Fraction

Adding fractions, follow two main steps based on whether the fractions have the same denominator (like denominators) or different denominators (unlike denominators).
To add like fractions with the same denominators, simply add the numerators and keep the denominator the same.
To add fractions with different denominators, find a common denominator, typically the least common multiple (LCM) of the denominators. Convert each fraction to an equivalent fraction with this common denominator, then add the numerators while keeping the common denominator.

$1$

Explanation: Here the sum of \$33/45\$ and \$20/45\$ is \$53/45\$.

Definition: Subtraction Fraction

Subtraction fractions, follow two main steps based on whether the fractions have the same denominator (like denominators) or different denominators (unlike denominators).
To subtract like fractions with the same denominators, simply subtract the numerators and keep the denominator the same.
To subtract fractions with different denominators, find a common denominator, typically the least common multiple (LCM) of the denominators. Convert each fraction to an equivalent fraction with this common denominator, then subtract the numerators while keeping the common denominator.

$2$

Explanation: In this image, the difference between of \$42/50\$ and \$29/50\$ is \$13/50\$.

Definition: Multiplication Fraction

Multiplication of fractions involves multiplying the numerators (the top numbers) together and the denominators (the bottom numbers) together. The general formula for multiplying two fractions is:
\$a/b times c/d\$ = \$(a times c)/(b times d)\$
where, a & c are the numerators, and b & d are the denominators.

$3$

Explanation: Multiply the fractions \$3 14/5 × 4/5\$ then we get \$4 16/25\$.

Definition: Division Fraction

Dividing by a fraction is equivalent to multiplying by its reciprocal.
The reciprocal of a fraction is obtained by swapping its numerator and denominator.
The general formula for dividing two fractions \$a/b\$ by \$c/d\$ is:
\$a/b \div c/d\$ = \$(a \times d)/(b \times c)\$.

$4$

Explanation: Divide the fraction \$12/8 ÷ 4\$, reciprocal the second fraction \$12/8 ÷ 1/4\$, then we get \$12/32\$.