Suppose you encounter a situation like Sara, who was asked to find 7/8ths of a number. Determining a fraction of a number is crucial in various fields such as mathematics, physics, and economics. In this comprehensive article, we'll guide you through Sara's journey and provide a step-by-step process for finding a fraction of a number.
To work with fractions easily, we often represent them as decimals. To convert 7/8ths to a decimal, divide the numerator (7) by the denominator (8):
7 ÷ 8 = 0.875
Once you have the fraction in decimal form, multiply it by the number you want to find the fraction of. Let's call this number x:
0.875 x x = y
Where y is the result of finding 7/8ths of the number x.
If you know the result (y) and the fraction (0.875), you can solve for the unknown number x:
x = y ÷ 0.875
Let's return to Sara's situation. She was asked to find 7/8ths of 128. Using the steps above, here's how she solved it:
1. Convert 7/8 to a decimal: 7 ÷ 8 = 0.875
2. Multiply 0.875 by 128: 0.875 x 128 = 112
3. Solve for x: x = 112 ÷ 0.875 = 128
Therefore, 7/8ths of 128 is 112.
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Understanding how to find fractions is essential in many aspects of life, including:
Fraction | Decimal | Percentage |
---|---|---|
1/2 | 0.5 | 50% |
1/4 | 0.25 | 25% |
1/8 | 0.125 | 12.5% |
3/4 | 0.75 | 75% |
1/10 | 0.1 | 10% |
Story 1:
A chef needed to bake 3/4ths of a cake for a party. He mistakenly used 7/4ths of the recipe. What happened?
Lesson Learned: Pay attention to the fraction you are using. Otherwise, you might end up with a cake that's too big for the pan!
Story 2:
Two friends decided to split a pizza equally. They cut the pizza into 8 slices. One friend ate 3/8ths of the pizza, while the other ate 5/8ths. Who ate more?
Lesson Learned: Fractions can be used to compare parts of a whole. It's important to consider the denominators when comparing fractions.
Story 3:
A store sold 1/5th of its inventory on Monday and 2/5ths on Tuesday. What fraction of its inventory remains unsold?
Lesson Learned: Fractions can be used to represent and combine parts of a whole. In this case, the remaining inventory is found by subtracting the fractions sold.
Now that you have a comprehensive understanding of finding fractions, test your skills by solving the following problems:
Remember, practice is key to mastering this concept. Keep practicing and you'll be a fraction expert in no time!
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