write the decimal as a fraction or mixed number.
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1. 0.7
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2. -9.6
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3. -1.36
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4. 2.707
0.7 = 7/10
2.707 = 2 707/1000
Try the other two and we'll be glad to check your answers.
To write a decimal as a fraction or mixed number, you can follow a simple process:
1. Determine the place value of the last digit after the decimal point.
For example, in 0.7, the last digit is in the tenths place, in -9.6, the last digit is in the tenths place, in -1.36, the last digit is in the hundredths place, and in 2.707, the last digit is in the thousandths place.
2. Based on the place value, write the decimal as the numerator and use the place value as the denominator in the fraction.
For example,
- For 0.7, the decimal is 7 in the tenths place, so the fraction is 7/10.
- For -9.6, the decimal is 6 in the tenths place, so the fraction is -6/10. Since the numerator and denominator are both divisible by 2, you can simplify the fraction to -3/5.
- For -1.36, the decimal is 36 in the hundredths place, so the fraction is -36/100. You can simplify the fraction by dividing both the numerator and denominator by 4 to get -9/25.
- For 2.707, the decimal is 707 in the thousandths place, so the fraction is 707/1000. This fraction cannot be simplified any further.
3. If necessary, convert the fraction to a mixed number.
- To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient becomes the whole number part, and the remainder becomes the numerator of the fractional part. The denominator remains the same.
For example,
- The fraction 7/10 cannot be further simplified.
- The fraction -6/10 can be simplified to -3/5, which can be further simplified to -1 2/5 (one and two-fifths).
- The fraction -9/25 cannot be further simplified.
- The fraction 707/1000 cannot be simplified, but it can be converted to the mixed number 0 707/1000.
So, the decimal as a fraction or mixed number is:
1. 0.7 as 7/10
2. -9.6 as -1 2/5
3. -1.36 as -9/25
4. 2.707 as 0 707/1000