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(3/8 divided by 1 7/8) - 1/6

Oct 13, 2017

#1
+2328
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Evaluating the expression of $$\frac{\frac{3}{8}}{1\frac{7}{8}}-\frac{1}{6}$$

 $$\frac{\frac{3}{8}}{1\frac{7}{8}}-\frac{1}{6}$$ First, convert the fraction in the denominator into an improper fraction. $$\frac{\frac{3}{8}}{1\frac{7}{8}}-\frac{1}{6}=\frac{\frac{3}{8}}{\frac{8*1+7}{8}}-\frac{1}{6}=\frac{\frac{3}{8}}{\frac{15}{8}}-\frac{1}{6}$$ Multiply by the reciprocal of the denominator to eliminate it. $$\frac{\frac{8}{15}}{\frac{8}{15}}*\frac{\frac{3}{8}}{\frac{15}{8}}-\frac{1}{6}$$ Doing this isn't actually changing the value of the fraction because we are just multiplying by 1. $$\frac{8}{15}*\frac{3}{8}-\frac{1}{6}$$ Before beginning the multiplication, we can drastically simplify the numbers in both fractions by identifying the GCF of opposite numerators and denominators. In this example, 8 and 8 have a GCF of 8. 3 and 15 have a GCF if 3. $$\frac{1}{5}-\frac{1}{6}$$ Convert 1/5 and 1/6 into fractions with a common denominator. $$\frac{6}{30}-\frac{5}{30}$$ Now subtract the numerators while maintaining the denominator. $$\frac{1}{30}$$
Oct 14, 2017

#1
+2328
+2

Evaluating the expression of $$\frac{\frac{3}{8}}{1\frac{7}{8}}-\frac{1}{6}$$

 $$\frac{\frac{3}{8}}{1\frac{7}{8}}-\frac{1}{6}$$ First, convert the fraction in the denominator into an improper fraction. $$\frac{\frac{3}{8}}{1\frac{7}{8}}-\frac{1}{6}=\frac{\frac{3}{8}}{\frac{8*1+7}{8}}-\frac{1}{6}=\frac{\frac{3}{8}}{\frac{15}{8}}-\frac{1}{6}$$ Multiply by the reciprocal of the denominator to eliminate it. $$\frac{\frac{8}{15}}{\frac{8}{15}}*\frac{\frac{3}{8}}{\frac{15}{8}}-\frac{1}{6}$$ Doing this isn't actually changing the value of the fraction because we are just multiplying by 1. $$\frac{8}{15}*\frac{3}{8}-\frac{1}{6}$$ Before beginning the multiplication, we can drastically simplify the numbers in both fractions by identifying the GCF of opposite numerators and denominators. In this example, 8 and 8 have a GCF of 8. 3 and 15 have a GCF if 3. $$\frac{1}{5}-\frac{1}{6}$$ Convert 1/5 and 1/6 into fractions with a common denominator. $$\frac{6}{30}-\frac{5}{30}$$ Now subtract the numerators while maintaining the denominator. $$\frac{1}{30}$$
TheXSquaredFactor Oct 14, 2017