Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you simplify $5 [\frac{1}{2} + (\frac{3}{5} \times \frac{5}{6}) \div \frac{5}{8}]$ $5 [1/2 + (3/5 times 5/6) div 5/8]$ using PEMDAS?

1 Answer

Apr 30, 2018

$\frac{13}{2} = 6 \frac{1}{2}$ $13/2 = 6 1/2$

Explanation:

$5[1/2+ color(red)((cancel3/cancel5 xxcancel5/cancel6_2)) div 5/8]$
$color(white)(xxxxxxx)color(red)(darr)$
$=5[1/2+color(red)(1/2) div5/8]$

$=5[1/2 + color(blue)(1/cancel2 xxcancel8^4/5)]" "larr$ multiply by the reciprocal
$color(white)(xxxxxxxxx)color(blue)(darr)$
$=5[1/2" + "color(blue)(4/5)]$

$=5[(5+8)/10]$

$=cancel5 xx13/cancel10_2$

$=13/2$

$=6 1/2$

Related questions

See all questions in PEMDAS

Impact of this question

1776 views around the world

You can reuse this answer
Creative Commons License