+0  
 
0
54
1
avatar

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

Guest Oct 13, 2017

Best Answer 

 #1
avatar+1373 
+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
Sort: 

1+0 Answers

 #1
avatar+1373 
+2
Best Answer

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

8 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details