0.875 As A Fraction In Simplest Form

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The decimal number 0.875 can be converted to a fraction in simplest form by following a few steps.

Understanding Decimal Numbers

Decimal numbers are a way to represent fractions using a point (.) to separate the whole number part from the fractional part. In the case of 0.875, the whole number part is 0, and the fractional part is 875.

Converting 0.875 to a Fraction

To convert 0.875 to a fraction, we can use the following steps:

1. Write the decimal number as a fraction with the same number of decimal places. In this case, 0.875 can be written as 875/1000.
2. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 875 and 1000 is 125.
3. Divide both the numerator and denominator by 125 to simplify the fraction. 875 ÷ 125 = 7, and 1000 ÷ 125 = 8.

So, 0.875 as a fraction in simplest form is 7/8.

Understanding the Concept of Equivalent Fractions

Equivalent fractions are fractions that have the same value but different numbers of equal parts. For example, 1/2, 2/4, and 3/6 are all equivalent fractions because they represent the same proportion of a whole.

In the case of 0.875, we can write equivalent fractions by multiplying or dividing both the numerator and denominator by the same number. For example:

• Multiply both numerator and denominator by 2: 14/16
• Multiply both numerator and denominator by 3: 21/24
• Divide both numerator and denominator by 2: 3.5/4

These fractions are all equivalent to 7/8 and represent the same proportion of a whole.

Practical Applications of Equivalent Fractions

Equivalent fractions have many practical applications in real-life situations, such as:

• Cooking: When scaling up or down a recipe, equivalent fractions can be used to adjust ingredient quantities.
• Measurement: Equivalent fractions can be used to convert between different units of measurement, such as inches to feet or pounds to ounces.
• Finance: Equivalent fractions can be used to calculate interest rates or investment returns.

Real-World Examples of 0.875 as a Fraction

Here are some real-world examples of 0.875 as a fraction:

• A recipe calls for 7/8 cup of sugar. If you only have a 1/4 cup measuring cup, you can use equivalent fractions to convert the measurement. In this case, 7/8 is equivalent to 14/16, so you would need to use 14 quarter cups.
• A car's fuel efficiency is 7/8 miles per gallon. If you drive 14 miles, you would use 2 gallons of fuel.
• A company offers a 7/8 discount on all products. If you purchase a product worth $100, you would pay $87.50.

Conclusion

In conclusion, 0.875 as a fraction in simplest form is 7/8. This fraction can be used in a variety of real-world applications, such as cooking, measurement, and finance. By understanding equivalent fractions, you can simplify complex calculations and make informed decisions.

Do you have any questions about fractions or equivalent fractions? Share your thoughts in the comments below!