Math Problem Statement

What is the Awnser

What is the Answer?

Solution

Let’s go through each question from the image step by step:

1. 3527\frac{3}{5} - \frac{2}{7}

To subtract these fractions, we need a common denominator:

  • Least common denominator (LCD) of 5 and 7 is 35.
  • Rewrite each fraction with a denominator of 35: 35=2135,27=1035\frac{3}{5} = \frac{21}{35}, \quad \frac{2}{7} = \frac{10}{35}
  • Now subtract: 21351035=1135\frac{21}{35} - \frac{10}{35} = \frac{11}{35} So, the correct answer should be 1135\frac{11}{35}.

2. Simplify 1821\frac{18}{21}

  • Find the greatest common divisor (GCD) of 18 and 21, which is 3.
  • Divide both numerator and denominator by 3: 18÷321÷3=67\frac{18 \div 3}{21 \div 3} = \frac{6}{7} So, the simplified fraction is 67\frac{6}{7}.

3. 532÷133532 \div 133

  • Performing the division: 532÷133=4532 \div 133 = 4

4. Convert 2.412.41 liters to milliliters.

  • Since 1 liter = 1000 milliliters: 2.41×1000=2410mL2.41 \times 1000 = 2410 \, \text{mL} It looks like the box shows 1.21.2 mL, but this is incorrect for the conversion. The correct value is 2410 mL.

Let me know if you'd like further clarification or help! Here are five questions related to this content for additional practice:

  1. What is 710+320\frac{7}{10} + \frac{3}{20}?
  2. Simplify 2436\frac{24}{36}.
  3. What is 672÷14672 \div 14?
  4. How many milliliters are in 3.5 liters?
  5. What is the decimal form of 916\frac{9}{16}?

Tip: When working with fractions, always check if you can simplify them by finding the greatest common divisor (GCD).

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Math Problem Analysis

Mathematical Concepts

Fractions
Simplification of fractions
Division
Unit conversion

Formulas

Fraction subtraction: Common denominator method
Simplification using greatest common divisor (GCD)
Basic division: Dividend ÷ Divisor = Quotient
Unit conversion: 1 liter = 1000 milliliters

Theorems

Principle of fraction subtraction
Simplification by GCD

Suitable Grade Level

Grade 5-6