Problem: simplify 2/3-3/2+1/4 [ Calculator, Method and examples ]
Solution:
Your problem `->` simplify 2/3-3/2+1/4
`2/3-3/2+1/4`
`=(2)/(3) - (3)/(2) + (1)/(4)`
LCM of `3,2,4` is `12`Step-1: Prime factorization of `3,2,4` using factor by division method Step-2: Write each number as a product of primes, matching primes vertically when possible Step-3: Bring down the primes in each column. The LCM is the product of these factors | 3 | = | | | 3 | | | 2 | = | 2 | | | | | 4 | = | 2 | × 2 | | |
| | LCM | = | 2 | × 2 | × 3 | = 12 |
`:.` LCM of `3,2,4` is `12`
`=(2 xx 4)/(3 xx 4) - (3 xx 6)/(2 xx 6) + (1 xx 3)/(4 xx 3)` (Change into equivalent fractions with the LCD 12)
`=(8)/(12) - (18)/(12) + (3)/(12)` (Simplify the numerators and denominators)
`=(8 - 18 + 3)/(12)`
`=(-7)/(12)`
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Solution provided by AtoZmath.com
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