Question

Lesson 7: Solving Equations with Fractions 6th Grade Practice

Answer 1

Answer:

1.C

2. 130, answer not listed

3. A

4. B

5.C

Step-by-step explanation:

To solve equations with fractions, convert from a mixed number to an improper fraction then use the inverse. The inverse of a fraction is multiplying by the reciprocal of the fraction on both sides.

1.

$2\frac{1}{4}r=10\\\\\frac{9}{4}r=10\\\\\frac{4}{9} *\frac{9}{4}r=10*\frac{4}{9}\\\\r=\frac{40}{9} \\\\r=4\frac{4}{9}$

2.

$\frac{h}{26}=5\\\\\frac{26}{1} *\frac{h}{26}=5*\frac{26}{1}\\\\h=130$

3.

$\frac{6}{7}k=6\\\\\frac{7}{6} *\frac{6}{7}k=6*\frac{7}{6}\\\\k=\frac{42}{6} \\\\k=7$

4.

$\frac{4}{5}x\\\\\frac{4}{5}*\frac{5}{8}\\\\\frac{20}{40} \\\\\frac{1}{2}$

5.

$\frac{h}{4/9} \\\\\frac{\frac{16}{3} }{\frac{4}{9} } \\\\\\\frac{\frac{16}{3} *\frac{9}{4}}{\frac{4}{9}*\frac{9}{4}}\\\\\frac{16}{3} *\frac{9}{4}\\\\\\\frac{144}{12} \\\\12$