Is 5/6 Bigger Than 7/8?

Mathematics can be daunting for many of us, but when it comes to fractions, it’s important to understand the concepts behind them in order to make sense of the questions we’re asked. So, let’s look at the question: Is 5/6 bigger than 7/8? To answer this, we need to break down the fractions, compare the numerators and denominators, and draw a conclusion. Let’s dive in and see what we can learn about this seemingly simple question!

Is 5/6 Bigger Than 7/8?

Understanding the Relationship between 5/6 and 7/8

The question of whether 5/6 is bigger than 7/8 is a common inquiry among mathematics students and those who are starting to explore fractions. Before we can answer this question, it is important to understand the difference between fractions and decimals, as well as the relationship between the two.

Fractions are a type of numerical expression that consists of two numbers, usually separated by a slash. The top number, known as the numerator, represents the number of parts that are being referred to. The bottom number, known as the denominator, represents the total number of parts that make up the whole. For example, the fraction 5/6 would represent five parts out of a total of six parts.

On the other hand, decimals are a type of numerical expression that consists of a whole number, followed by a decimal point, followed by a fractional part. Decimals are used to represent real numbers, and can be used to more accurately represent fractions. For example, the fraction 5/6 can be represented as 0.83333 in decimal form.

Comparing 5/6 and 7/8

Now that we understand the relationship between fractions and decimals, we can compare the fractions 5/6 and 7/8. The first step is to convert these fractions to decimal form. 5/6 can be converted to 0.83333, and 7/8 can be converted to 0.875.

When we compare these two decimals, it is clear that 0.875 is greater than 0.83333. This means that 7/8 is greater than 5/6. To put it another way, 7/8 is larger than 5/6.

Finding Common Denominators

Another way to compare fractions is to find the common denominator between them. This is the smallest number that both fractions will divide into evenly. For the fractions 5/6 and 7/8, the common denominator is 24.

When the fractions are converted to have a common denominator, 5/6 becomes 10/24, and 7/8 becomes 21/24. It is now clear that 21/24 is larger than 10/24, which means that 7/8 is larger than 5/6.

Using Cross-Multiplication

The third and final way to compare fractions is to use cross-multiplication. This is a method of determining if one fraction is greater than or less than another fraction by multiplying the numerators and denominators and then comparing the results.

In the case of 5/6 and 7/8, we would multiply the numerator of 5/6 (5) by the denominator of 7/8 (8) and then compare the result to the product of the denominator of 5/6 (6) and the numerator of 7/8 (7). 5 x 8 = 40, and 6 x 7 = 42. Since 40 is less than 42, it follows that 5/6 is less than 7/8.

Conclusion

In conclusion, it is clear that the fraction 7/8 is larger than the fraction 5/6. This can be determined by comparing the fractions in decimal form, finding the common denominator, or by using cross-multiplication.

Few Frequently Asked Questions

Q1. Is 5/6 bigger than 7/8?

A1. No, 5/6 is not bigger than 7/8. 5/6 is equal to 0.833 while 7/8 is equal to 0.875. Since 0.875 is larger than 0.833, 7/8 is larger than 5/6.

Q2. What is the decimal representation of 5/6?

A2. The decimal representation of 5/6 is 0.833. To calculate this, divide 5 by 6 which is equal to 0.833.

Q3. What is the decimal representation of 7/8?

A3. The decimal representation of 7/8 is 0.875. To calculate this, divide 7 by 8 which is equal to 0.875.

Q4. How can I compare 5/6 and 7/8?

A4. To compare 5/6 and 7/8, convert them to their decimal representation. 5/6 is equal to 0.833 while 7/8 is equal to 0.875. Since 0.875 is larger than 0.833, 7/8 is larger than 5/6.

Q5. What is the fractional form of 0.875?

A5. The fractional form of 0.875 is 7/8. To calculate this, multiply 0.875 by 8 which is equal to 7, and then divide the resulting number by 8 which is equal to 7/8.

Q6. What is the fractional form of 0.833?

A6. The fractional form of 0.833 is 5/6. To calculate this, multiply 0.833 by 6 which is equal to 5, and then divide the resulting number by 6 which is equal to 5/6.

Which fraction is greater? 5/6 or 7/8

The answer is clear: 5/6 is not bigger than 7/8. While it may seem that 5/6 would be bigger because the numerator is larger, when both fractions are reduced to their lowest terms, 5/6 becomes 10/12 and 7/8 becomes 7/8. Therefore, 7/8 is the larger fraction. As a result, the answer to the question “Is 5/6 bigger than 7/8?” is no.

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