How do you write -0.70 as a fraction?

To convert -0.70 into a fraction, we can follow a straightforward process. The decimal -0.70 can be expressed as a fraction by recognizing that it represents a value that is negative and can be broken down into parts that are easier to work with.

Step-by-Step Conversion

First, let's focus on the positive part of the decimal, which is 0.70. This decimal can be understood as:

• 0.70 = 70/100

Here, we have expressed 0.70 as a fraction with a numerator (the top number) of 70 and a denominator (the bottom number) of 100. The next step is to simplify this fraction.

Simplifying the Fraction

To simplify 70/100, we need to find the greatest common divisor (GCD) of the numerator and the denominator. Both 70 and 100 can be divided by 10:

• 70 ÷ 10 = 7
• 100 ÷ 10 = 10

So, when we simplify 70/100, we get:

• 70/100 = 7/10

Incorporating the Negative Sign

Since we started with -0.70, we need to include the negative sign in our final answer. Therefore, we write:

• -0.70 = -7/10

Final Answer

Thus, the decimal -0.70 can be expressed as the fraction -7/10. This fraction clearly indicates that the value is negative, and it is in its simplest form. If you have any further questions about fractions or decimals, feel free to ask!