Fraction Decimal Percentage 7 8 0.55 26%
The Correct Answer and Explanation is:
To convert between fractions, decimals, and percentages, let’s break down each conversion:
1. Fraction to Decimal:
The fraction 7/8 can be converted to a decimal by dividing the numerator (7) by the denominator (8):78=0.875\frac{7}{8} = 0.87587=0.875
2. Decimal to Fraction:
The decimal 0.55 is equivalent to 55/100, which simplifies to:55100=1120\frac{55}{100} = \frac{11}{20}10055=2011
So, 0.55 as a fraction is 11/20.
3. Decimal to Percentage:
To convert a decimal to a percentage, multiply it by 100. For 0.55:0.55×100=55%0.55 \times 100 = 55\%0.55×100=55%
So, 0.55 as a percentage is 55%.
4. Fraction to Percentage:
To convert 7/8 into a percentage, first convert it to a decimal (0.875) and then multiply by 100:0.875×100=87.5%0.875 \times 100 = 87.5\%0.875×100=87.5%
5. Percentage to Decimal:
To convert 26% into a decimal, divide by 100:26100=0.26\frac{26}{100} = 0.2610026=0.26
6. Percentage to Fraction:
To convert 26% into a fraction, start by writing it as 26/100, and then simplify:26100=1350\frac{26}{100} = \frac{13}{50}10026=5013
Summary:
- 7/8 as a decimal is 0.875, and as a percentage is 87.5%.
- 0.55 as a fraction is 11/20, and as a percentage is 55%.
- 26% as a decimal is 0.26, and as a fraction is 13/50.
These conversions are useful in various fields, especially when dealing with data analysis, financial calculations, and other mathematical applications.
