Math Problem Statement

4/20 ÷ 16

Solution

The expression in the image is:

420÷16\frac{4}{20} \div 16

To solve this, let's break down the steps:

  1. Rewrite the division as multiplication by the reciprocal: 420÷16=420×116\frac{4}{20} \div 16 = \frac{4}{20} \times \frac{1}{16}

  2. Multiply the fractions: 420×116=4×120×16=4320\frac{4}{20} \times \frac{1}{16} = \frac{4 \times 1}{20 \times 16} = \frac{4}{320}

  3. Simplify the fraction:

    • Divide the numerator and the denominator by 4: 4320=180\frac{4}{320} = \frac{1}{80}

The final answer is:

180\frac{1}{80}

Would you like more details on any of these steps or have further questions?

Related Questions:

  1. How do you convert division of fractions to multiplication?
  2. What are some common techniques for simplifying fractions?
  3. How do you multiply two fractions?
  4. How can we convert a fraction result into a decimal?
  5. How does dividing by a whole number affect a fraction?

Tip: When dividing fractions, always remember to multiply by the reciprocal of the divisor!

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Math Problem Analysis

Mathematical Concepts

Fractions
Division of Fractions
Simplification

Formulas

Division of Fractions: a/b ÷ c = a/b × 1/c
Fraction Multiplication: a/b × c/d = (a×c)/(b×d)

Theorems

Reciprocal Rule for Division of Fractions

Suitable Grade Level

Grades 5-7