- Operations With Fractions Worksheets
- Operations With Fractions Review
- All Operations With Fractions Worksheet
- Order Of Operations With Fractions
- Operations With Fractions Examples
- Numbers And Operations Fractions
- Operations With Fractions Practice Pdf

To ** add (or subtract) ** two fractions :

Oct 23, 2012 - Explore Tanya Zarb's board 'Maths- fractions', followed by 122 people on Pinterest. See more ideas about math fractions, fractions, math classroom. Kateri Mission School- Junior High September Philosophy I believe that every child is a gift from GOD that has something unique to offer the world. Respect My classroom is based on RESPECT. Math help since 1998. Math Goodies helps kids at all levels with interactive instruction and free resources. Get help online or offline.

1) Find the least common denominator .

2) Write both original fractions as equivalent fractions with the least common denominator.

3) Add (or subtract) the numerators.

4) Write the result with the denominator.

** Example 1: **

Add $\frac{1}{3}+\frac{3}{7}$ .

The least common denominator is $21$ .

$\begin{array}{l}\frac{1}{3}+\frac{3}{7}=\frac{1\cdot 7}{3\cdot 7}+\frac{3\cdot 3}{7\cdot 3}\\ =\frac{7}{21}+\frac{9}{21}\\ =\frac{16}{21}\end{array}$

To ** multiply ** two fractions:

1) Multiply the numerator by the numerator.

2) Multiply the denominator by the denominator.

For all real numbers $a,b,c,d\left(b\ne 0,d\ne 0\right)$

$\frac{a}{b}\cdot \frac{c}{d}=\frac{ac}{bd}$

** Example 2: **

Multiply $\frac{1}{4}\cdot \frac{5}{6}$ .

$\begin{array}{l}\frac{1}{4}\cdot \frac{5}{6}=\frac{1\cdot 5}{4\cdot 6}\\ =\frac{5}{24}\end{array}$

To ** divide ** by a fraction, multiply by its reciprocal .

For all real numbers $a,b,c,d\left(b\ne 0,c\ne ,d\ne 0\right)$

$\frac{a}{b}\xf7\frac{c}{d}=\frac{a}{b}\cdot \frac{d}{c}=\frac{ad}{bc}$

** Example 3: **

Divide $\frac{3}{4}\xf7\frac{5}{7}$ .

$\begin{array}{l}\frac{3}{4}\xf7\frac{5}{7}=\frac{3}{4}\cdot \frac{7}{5}\\ =\frac{3\cdot 7}{4\cdot 5}\\ =\frac{21}{20}\end{array}$

Mixed numbers can be written as an improper fraction and an improper fraction can be written as a mixed number.

** Example 4: **

Write $7\frac{2}{5}$ as an improper fraction.

$\begin{array}{l}7\frac{2}{5}=\frac{7}{1}+\frac{2}{5}\\ =\frac{7\cdot 5}{1\cdot 5}+\frac{2}{5}\\ =\frac{35}{5}+\frac{2}{5}\\ =\frac{37}{5}\end{array}$

** Example 5: **

Write $\frac{11}{7}$ as a mixed number in simple form.

$\frac{11}{7}=11\xf77=1\text{R}4$

Therefore, $\frac{11}{7}=1\frac{4}{7}$ .

A fraction is in lowest terms when the numerator and denominator have no common factor other than $1$ . To write a fraction in lowest terms, divide the numerator and denominator by the greatest common factor .

** Example 6: **Call of duty® 2 download for mac.

Write $\frac{45}{75}$ in lowest terms.

$45$ and $75$ have a common factor of $15$ .

$\frac{45}{75}=\frac{45\xf715}{75\xf715}=\frac{3}{5}$

Fractions Worksheets

Fractions Worksheets

Fractions Worksheets

Fractions Worksheets

Fractions Worksheets

Fractions Worksheets

Fractions Worksheets

Fractions Worksheets

Fractions Worksheets

Fractions Worksheets

Fractions Worksheets

Whole Numbers Worksheets

Fractions Worksheets

Three Fractions

Fractions Worksheets

Fractions Worksheets

with Cross Cancelling

Fractions Worksheets

with Whole Numbers

Invert and Multiply

Fractions Worksheets

with Whole Numbers

Fractions Worksheets

Fractions Worksheets

Fractions Worksheets

Fractions Worksheets

Fractions Worksheets

Fractions Worksheets

& Decimals Worksheets

Fractions Worksheets

Comparison Worksheets

& Decimals Worksheets

Fractions Worksheets

Exponents Worksheets

Fractions Worksheets

Inches Worksheets

Fractions Worksheets

Inches Worksheets

for an Inch Worksheets

of Whole Numbers

Fractions Worksheets

Fractional Inches

with Borrowing Worksheets

Fractional Feet & Inches

with Borrowing Worksheets

Fractions Worksheets