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 $$2 \frac{4}{21}$$.
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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:** $$4 \frac{1}{2}$$.
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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:** $$-6 \frac{9}{10}$$.
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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:** $$\frac{11}{40}$$.
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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:** $$4 \frac{14}{17}$$.
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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:** $$1 \frac{1}{9}$$.
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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:** $$-\frac{13}{6}$$.