Math Problem Statement

Change 0.9375 to a fraction and reduce to lowest terms.

Solution

To convert 0.9375 into a fraction, follow these steps:

  1. Write 0.9375 as a fraction:
    0.9375=9375100000.9375 = \frac{9375}{10000}

  2. Simplify the fraction:
    Find the greatest common divisor (GCD) of 9375 and 10000. The GCD is 625.

  3. Divide both the numerator and the denominator by 625: 9375÷62510000÷625=1516\frac{9375 \div 625}{10000 \div 625} = \frac{15}{16}

Thus, 0.9375 as a fraction in its lowest terms is:

1516\frac{15}{16}

Would you like further details on the simplification process or have any questions?

Here are 5 related questions:

  1. How do you convert a repeating decimal to a fraction?
  2. What is the decimal equivalent of 78\frac{7}{8}?
  3. Can you simplify 2501000\frac{250}{1000} to its lowest terms?
  4. How would you convert 1.375 to a fraction?
  5. What are the steps for finding the GCD of two numbers?

Tip: To easily simplify fractions, always try to find the GCD of the numerator and denominator.

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Math Problem Analysis

Mathematical Concepts

Fractions
Decimal to Fraction Conversion
Simplification

Formulas

Decimal to Fraction Conversion Formula
Greatest Common Divisor (GCD)

Theorems

GCD Simplification Theorem

Suitable Grade Level

Grades 6-8