5 Ways To Simplify 5 Divided By 5/6

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In today's fast-paced world, math problems can be overwhelming, especially when dealing with fractions. However, with the right approach, even the most complex calculations can be simplified. In this article, we'll explore five ways to simplify the problem "5 divided by 5/6".

Before we dive into the solutions, let's understand the problem at hand. We're dealing with a division problem involving a fraction, which can be intimidating. But don't worry, we'll break it down step by step.

Method 1: Invert and Multiply

One way to simplify the problem is to invert the fraction and multiply. This method is useful when dealing with fractions in division problems.

To invert the fraction, we flip the numerator and denominator. So, 5/6 becomes 6/5. Then, we multiply 5 by the inverted fraction:

5 ÷ 5/6 = 5 × 6/5

Using this method, we get:

5 × 6/5 = 6

Method 2: Use a Common Denominator

Another way to simplify the problem is to use a common denominator. In this case, the common denominator is 5. We can rewrite the fraction 5/6 with a denominator of 5:

5/6 = 25/30

Now, we can divide 5 by the rewritten fraction:

5 ÷ 25/30 = 5 × 30/25

Using this method, we get:

5 × 30/25 = 6

Method 3: Convert to a Decimal

We can also simplify the problem by converting the fraction to a decimal. To do this, we divide the numerator by the denominator:

5/6 = 0.83

Now, we can divide 5 by the decimal:

5 ÷ 0.83 = 6.02

Using this method, we get an approximate answer. However, since we're dealing with whole numbers, we can round up to 6.

Method 4: Use a Fraction Strip

A fraction strip is a visual aid that can help us simplify fractions. We can use a fraction strip to represent the fraction 5/6.

Imagine a strip divided into 6 equal parts, with 5 parts shaded. We can see that the fraction 5/6 is equal to 5/6 of the whole strip.

Now, we can divide the whole strip by the shaded part:

1 ÷ 5/6 = 1 × 6/5

Using this method, we get:

1 × 6/5 = 6/5

To simplify further, we can multiply by 5:

6/5 × 5 = 6

Method 5: Use an Equivalent Ratio

Finally, we can simplify the problem using an equivalent ratio. We can rewrite the fraction 5/6 as an equivalent ratio:

5/6 = 10/12

Now, we can divide 5 by the equivalent ratio:

5 ÷ 10/12 = 5 × 12/10

Using this method, we get:

5 × 12/10 = 6

As we've seen, there are multiple ways to simplify the problem "5 divided by 5/6". Each method has its own strengths and weaknesses, but they all lead to the same answer: 6.

We hope this article has helped you simplify the problem "5 divided by 5/6". Remember, there are multiple ways to approach math problems, and practice makes perfect.

Share your thoughts on the article in the comments section below. Which method do you find most helpful for simplifying the problem "5 divided by 5/6"?