To perform these subtractions, you need to have a common denominator for each pair of fractions. Let's work through each of the subtractions:
- 158−223
To find a common denominator, you can multiply 15 and 22, which is 330. Now, convert both fractions to have a denominator of 330:
158×2222=330176
223×1515=33045
Now, you can subtract the fractions:
330176−33045=330176−45=330131
- 1211−3019
To find a common denominator, you can multiply 12 and 30, which is 360. Now, convert both fractions to have a denominator of 360:
1211×3030=360330
3019×1212=360228
Now, you can subtract the fractions:
360330−360228=360330−228=360102
To simplify this fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 6:
360/6102/6=6017
- 256−452
To find a common denominator, you can multiply 25 and 45, which is 1125. Now, convert both fractions to have a denominator of 1125:
256×4545=1125270
452×2525=112550
Now, you can subtract the fractions:
1125270−112550=1125270−50=1125220
To simplify this fraction, you can divide both the numerator and denominator by their greatest common divisor, which is 5:
1125/5220/5=22544
- 87−245
To find a common denominator, you can multiply 8 and 24, which is 192. Now, convert both fractions to have a denominator of 192:
87×2424=192168
245×=8/819240
Now, you can subtract the fractions:
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