Add and subtract Mix fractions

When adding (or subtracting) mix fractions, it would be simpler to split the whole numbers and proper fractions. Solve the whole numbers and fractions separately. Then combine the two for the final result. Say
\( \displaystyle 8\frac{5}{6} + 5\frac{2}{3} - 17\frac{7}{15} \\=8+\dfrac{5}{6} + 5+\dfrac{2}{3} - \color{red}{\{ 17+\dfrac{7}{15}\} }=\{ 8+5-17 \} +\{ \dfrac{5}{6} + \dfrac{2}{3} \color{red}{-} \dfrac{7}{15}\} \\ =-4 + \{ \dfrac{25}{30} + \dfrac{20}{30} - \dfrac{14}{30}\}~~~\because~the~ Lowest~ Common ~Multiple~is~~30\\=-4 + \dfrac{31}{30}=-5+1 \dfrac{1}{30} =-4+1+\dfrac{1}{30}=-3+\dfrac{1}{30}\\=\color{red}{-2+\{-1+\dfrac{1}{30} \} }=-2\dfrac{29}{30}~~\\Note~how ~we~ borrowed~-1~from~~- 3~~to~add~\dfrac{29}{30}~~\)

Note by Niranjan Khanderia
3 years, 3 months ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

Sort by:

Top Newest

Hi

Toni Mackenzie - 2 years, 3 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...