Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\frac{13}{52}+\frac{4}{52}-\frac{1}{52}$$

Answer

4/13

Solution


Simplify  \(\frac{13}{52}\)  to  \(\frac{1}{4}\).
\[\frac{1}{4}+\frac{4}{52}-\frac{1}{52}\]
Simplify  \(\frac{4}{52}\)  to  \(\frac{1}{13}\).
\[\frac{1}{4}+\frac{1}{13}-\frac{1}{52}\]
Find the Least Common Denominator (LCD) of \(\frac{1}{4},\frac{1}{13},\frac{1}{52}\). In other words, find the Least Common Multiple (LCM) of \(4,13,52\).
LCD = \(52\)
Make the denominators the same as the LCD.
\[\frac{1\times 13}{4\times 13}+\frac{1\times 4}{13\times 4}-\frac{1}{52}\]
Simplify. Denominators are now the same.
\[\frac{13}{52}+\frac{4}{52}-\frac{1}{52}\]
Join the denominators.
\[\frac{13+4-1}{52}\]
Simplify.
\[\frac{16}{52}\]
Simplify.
\[\frac{4}{13}\]

Decimal Form: 0.307692

[email protected]
Privacy Policy | Terms & Conditions
Contact Us