SaiBook.us Fractions

Lesson Example Discussion Quiz: Class Homework

Example

Title: UnLike Fraction Subtraction

Grade: 5-a Lesson: S2-L7

Explanation: Hello Students, time to learn examples. Let us take turns and read each example. Explain each step. Pay special attention to steps and pictures and communicate in your own words.

Examples:

Subtract of \$19/7 - 12/5\$.

Step 1a

Convert unlike fractions to like fractions: \$19/7 - 10/5\$ First, to find LCM of 7 and 5 is 35.

$1a$

Explanation: In this step, we need to convert unlike fractions to like fractions. Solve \$19/7 - 12/5\$, we first need to find the LCM of 7 and 5, which is 35.

Step 1b

The least common multiple (LCM) of 7 and 5 is 35. So, rewrite both fractions with the denominator 35:

\$19/7 \times 5/5 = 95/35\$

\$12/5 \times 7/7 = 84/35\$

$1b$

Explanation: The least common multiple of 7 and 5 is 35. Both fractions are rewritten with the denominator 35:

\$19/7 × 5/5\$ = \$95/35\$ and \$12/5 × 7/7\$ = \$84/35\$.

Step 1c

After finding a common denominator, subtract the numerators while keeping the denominator the same:

\$95/35 - 84/35 = 11/35\$

So, \$95/35 - 84/35\$ is \$11/35\$

$1c$

Explanation: Now that both fractions have the same denominator, we can simply subtract their numerators while keeping the denominator the same \$95/35 - 84/35\$ is \$11/35\$.