Add and Subtract Fractions 1

Years

Year 10

Fractions

Add and Subtract Fractions

Add and Subtract Fractions 1

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Question 1 of 4

1. Question
Add the following

$\frac{4}{10} + \frac{5}{10}$ $4/10+5/10$

Write the fraction in the format “a/b”
- (9/10)
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To add fractions with like denominators, add the numerators
and keep the same denominator.

Since the denominators are the same, add only the numerators

$\frac{4}{10} + \frac{5}{10}$ $4/10+5/10$ $=$ $=$ $\frac{9}{10}$ $9/10$ Keep the same denominator

$\frac{9}{10}$ $9/10$
Question 2 of 4

2. Question
Add the following. Simplify if needed.

$\frac{13}{15} + \frac{2}{15}$ $13/15+2/15$
- (1)
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To add fractions with like denominators, add the numerators
and keep the same denominator.

Since the denominators are the same, add only the numerators

$\frac{13}{15} + \frac{2}{15}$ $13/15+2/15$ $=$ $=$ $\frac{15}{15}$ $15/15$ Keep the same denominator

$=$ $=$ $1$ $1$ A fraction that has the same numerator and denominator is equal to $1$ $1$

$1$ $1$

Question 3 of 4

Add the following. Simplify if needed.

\frac{38}{100} + \frac{12}{100}

$38/100+12/100$

Write fractions in the format “a/b”

(1/2)

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To add fractions with like denominators, add the numerators
and keep the same denominator.

Since the denominators are the same, add only the numerators

$\frac{38}{100} + \frac{12}{100}$ $38/100+12/100$	$=$ $=$	$\frac{50}{100}$ $50/100$	Keep the same denominator

	$=$ $=$	$\frac{50\div\color{#CC0000}{50}}{100\div\color{#CC0000}{50}}$	Simplify the fraction

	$=$ $=$	$\frac{1}{2}$ $1/2$

\frac{1}{2}

$1/2$

Question 4 of 4

Add the following

\frac{3}{8} + \frac{1}{4}

$3/8+1/4$

Write the fraction in the format “a/b”

(5/8)

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Add fractions with unlike denominators by transforming the fractions so that they have the like denominators

Start with listing out multiples of

8

$8$ and

4

$4$

Multiples of

8

$8$ :

81624

$\color{#004ec4}{8}\;\;16\;\;24$

Multiples of

4

$4$ :

4812

$4\;\;\color{#004ec4}{8}\;\;12$

The

L C D

$LCD$ of

8

$8$ and

4

$4$ is $8$ $8$

Use the $L C D$ $LCD$ as the denominator for both fractions then proceed with adding.

	$\frac{3}{8} + \frac{1}{4}$ $3/8+1/4$

$=$ $=$	$\frac{3}{8}+\frac{1\times\color{#CC0000}{2}}{4\times\color{#CC0000}{2}}$	Multiply by $2$ $2$ so that the denominator becomes $8$ $8$

$=$ $=$	$\frac{3}{\color{#004ec4}{8}}+\frac{2}{\color{#004ec4}{8}}$	Add the numerators

$=$ $=$	$\frac{5}{8}$	Keep the same denominator

\frac{5}{8}

$5/8$

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2. Question

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Quizzes

$\frac{13}{15} + \frac{2}{15}$ $13/15+2/15$	$=$ $=$	$\frac{15}{15}$ $15/15$	Keep the same denominator

	$=$ $=$	$1$ $1$	A fraction that has the same numerator and denominator is equal to $1$ $1$