Subjects arithmetic

Fractions Decimals 2C8C0D

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1. **Problem:** Write the amount 2 79/100 as a decimal. 2. **Formula and rules:** To convert a mixed number with a fraction to a decimal, convert the fraction to decimal and add it to the whole number. 3. **Convert the fraction:** $$\frac{79}{100} = 0.79$$ 4. **Add to the whole number:** $$2 + 0.79 = 2.79$$ 5. **Answer:** The decimal representation of 2 79/100 is **2.79**. 1. **Problem:** Write six hundredths as a fraction and decimal. 2. **Six hundredths means:** $$\frac{6}{100}$$ 3. **Decimal:** $$0.06$$ 1. **Problem:** Write one and 2 tenths as a fraction and decimal. 2. **Mixed number:** $$1 \frac{2}{10}$$ 3. **Decimal:** $$1.2$$ 1. **Problem:** Write 1 5/10 as a decimal. 2. **Convert fraction:** $$\frac{5}{10} = 0.5$$ 3. **Add:** $$1 + 0.5 = 1.5$$ 1. **Problem:** Write 2 9/10 as a decimal. 2. **Convert fraction:** $$\frac{9}{10} = 0.9$$ 3. **Add:** $$2 + 0.9 = 2.9$$ 1. **Problem:** Write 1 7/100 as a decimal. 2. **Convert fraction:** $$\frac{7}{100} = 0.07$$ 3. **Add:** $$1 + 0.07 = 1.07$$ 1. **Problem:** Identify which pairs of fractions and decimals are not equivalent. 2. **Check each pair:** A. $$\frac{4}{10} = 0.4$$ vs 4.1 (Not equivalent) B. 2.6 vs $$26 \frac{3}{10} = 26.3$$ (Not equivalent) C. 3.7 vs $$3 \frac{7}{10} = 3.7$$ (Equivalent) D. $$2 \frac{2}{10} = 2.2$$ vs 2.2 (Equivalent) E. $$1 \frac{141}{100} = 1 + 1.41 = 2.41$$ vs 1.41 (Not equivalent) F. 1.79 vs $$1 \frac{79}{100} = 1.79$$ (Equivalent) 3. **Answer:** Pairs A, B, and E are not equivalent. 1. **Problem:** Write 3.5 pounds as a fraction. 2. **Convert decimal to fraction:** $$3.5 = 3 \frac{5}{10}$$ 3. **Simplify fraction:** $$\frac{5}{10} = \frac{1}{2}$$ 4. **Answer:** $$3 \frac{1}{2}$$ pounds. 1. **Problem:** Compare 1 60/100 pounds and 1.6 pounds. 2. **Convert fraction to decimal:** $$\frac{60}{100} = 0.6$$ 3. **Add:** $$1 + 0.6 = 1.6$$ 4. **Answer:** Jae is correct; 1 60/100 pounds equals 1.6 pounds.