Subjects algebra

Crossing Fractions 0Cd414

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Question: /2 crossing fractions. solve the following fractions. 1.) 4/21 + 6/3 6, 15/4 + 6/5 2.) 3/5 - 15/2 7.14/15 4/5 3.) 7/8 - 3/5 8. 24/3 . 4/3 4.) 20/5 + 14/17 9.-13/6 + 1/2 5. 20/6 × 1/3 10.-13/2 : 3 position_hint: center1/2 CROSSWISE solve the following fractions. 1.) 4/21 + 6/3 14/4 × 6/5 2.) 3/5 - 15/2 7.14/15 4/5 3.) 7/8 - 3/5 8.24/3 : 4/3 4.) 20/5 + 14/17 9.-12/6 + 1/2 5.) 26/6 × 1/3 10.-13/2 : 3 graph shapes and math position_hint: top-right, a handwritten fraction worksheet page with several crosswise fraction operations arranged in rows and columns.User: Solve
1. **Problem:** Calculate $$\frac{4}{21} + \frac{6}{3}$$. 2. **Formula:** To add fractions, find a common denominator and add numerators. 3. **Work:** $$\frac{6}{3} = 2$$ (simplify). 4. Find common denominator: 21. 5. Convert $$2 = \frac{42}{21}$$. 6. Add: $$\frac{4}{21} + \frac{42}{21} = \frac{46}{21}$$. 7. **Answer:** $$\frac{46}{21}$$ or $$2 \frac{4}{21}$$. --- 1. **Problem:** Calculate $$\frac{15}{4} \times \frac{6}{5}$$. 2. **Formula:** Multiply numerators and denominators. 3. **Work:** $$\frac{15 \times 6}{4 \times 5} = \frac{90}{20}$$. 4. Simplify: $$\frac{\cancel{90}^{18}}{\cancel{20}^{4}} = \frac{18}{4}$$. 5. Simplify further: $$\frac{18}{4} = \frac{9}{2} = 4 \frac{1}{2}$$. 6. **Answer:** $$4 \frac{1}{2}$$. --- 1. **Problem:** Calculate $$\frac{3}{5} - \frac{15}{2}$$. 2. **Formula:** Find common denominator and subtract numerators. 3. Common denominator: 10. 4. Convert: $$\frac{3}{5} = \frac{6}{10}$$, $$\frac{15}{2} = \frac{75}{10}$$. 5. Subtract: $$\frac{6}{10} - \frac{75}{10} = \frac{-69}{10} = -6 \frac{9}{10}$$. 6. **Answer:** $$-6 \frac{9}{10}$$. --- 1. **Problem:** Calculate $$\frac{7}{8} - \frac{3}{5}$$. 2. Common denominator: 40. 3. Convert: $$\frac{7}{8} = \frac{35}{40}$$, $$\frac{3}{5} = \frac{24}{40}$$. 4. Subtract: $$\frac{35}{40} - \frac{24}{40} = \frac{11}{40}$$. 5. **Answer:** $$\frac{11}{40}$$. --- 1. **Problem:** Calculate $$\frac{20}{5} + \frac{14}{17}$$. 2. Simplify $$\frac{20}{5} = 4$$. 3. Common denominator: 17. 4. Convert: $$4 = \frac{68}{17}$$. 5. Add: $$\frac{68}{17} + \frac{14}{17} = \frac{82}{17} = 4 \frac{14}{17}$$. 6. **Answer:** $$4 \frac{14}{17}$$. --- 1. **Problem:** Calculate $$\frac{20}{6} \times \frac{1}{3}$$. 2. Multiply numerators and denominators: $$\frac{20 \times 1}{6 \times 3} = \frac{20}{18}$$. 3. Simplify: $$\frac{\cancel{20}^{10}}{\cancel{18}^{9}} = \frac{10}{9} = 1 \frac{1}{9}$$. 4. **Answer:** $$1 \frac{1}{9}$$. --- 1. **Problem:** Calculate $$-\frac{13}{2} \div 3$$. 2. Division by a number is multiplication by its reciprocal. 3. $$-\frac{13}{2} \times \frac{1}{3} = -\frac{13}{6}$$. 4. **Answer:** $$-\frac{13}{6}$$.