Math Problem Statement

Simplify the expression involving fractions as shown in the image.

Solution

The image contains a mathematical expression. Let's break it down:

It seems like the problem consists of a multiplication of two fractions, one on top and one at the bottom. The expression is:

15414314\frac{\frac{15}{4}}{\frac{14}{3}} \cdot \frac{1}{4}

Steps to simplify:

  1. Simplify the fractions: 154÷143=154314=153414=4556\frac{15}{4} \div \frac{14}{3} = \frac{15}{4} \cdot \frac{3}{14} = \frac{15 \cdot 3}{4 \cdot 14} = \frac{45}{56}

  2. Now multiply by 14\frac{1}{4}: 455614=45224\frac{45}{56} \cdot \frac{1}{4} = \frac{45}{224}

Thus, the result of the entire expression is:

45224\frac{45}{224}

Let me know if you need further details or clarifications! Here are five related questions:

  1. How do you divide fractions step by step?
  2. Can you convert 45224\frac{45}{224} into a decimal?
  3. What is the general formula for multiplying two fractions?
  4. Can this result be simplified further?
  5. What real-world problems involve multiplying fractions?

Tip: When dividing by a fraction, you multiply by its reciprocal!

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Math Problem Analysis

Mathematical Concepts

Fraction Multiplication
Fraction Division
Simplification of Fractions

Formulas

Multiplication of Fractions: \(\frac{a}{b} \times \frac{c}{d} = \frac{a \cdot c}{b \cdot d}\)
Division of Fractions: \(\frac{a}{b} \div \frac{c}{d} = \frac{a \cdot d}{b \cdot c}\)

Theorems

Multiplicative Inverse (Reciprocal)

Suitable Grade Level

Grades 5-7