To convert \(\frac{7}{25}\) to a decimal, you can find an equivalent fraction with a denominator that is a power of 10, such as 100. To get from 25 to 100, you multiply by 4. Multiply the numerator by 4 as well: \(7 \times 4 = 28\). The equivalent fraction is \(\frac{28}{100}\), which is written as the decimal 0.28. Alternatively, you can divide 7 by 25.

First, convert 2.5 feet to a mixed number. The decimal 0.5 is equivalent to the fraction \(\frac{1}{2}\), so 2.5 is \(2\frac{1}{2}\) feet. To subtract \(2\frac{3}{8}\) from \(2\frac{1}{2}\), find a common denominator. \(2\frac{1}{2}\) is equivalent to \(2\frac{4}{8}\). Now subtract: \(2\frac{4}{8} - 2\frac{3}{8} = \frac{1}{8}\). The carpenter will have \(\frac{1}{8}\) foot of wood left over.

The question asks for the fraction equivalent of the sales tax, which is $0.12. The cost of the pen, $1.50, is extra information. To convert 0.12 to a fraction, write it as \(\frac{12}{100}\). To simplify this fraction, divide both the numerator and denominator by their greatest common factor, 4. \(12 \div 4 = 3\) and \(100 \div 4 = 25\). The simplified fraction is \(\frac{3}{25}\).

First, convert the length of the first piece to a fraction. The decimal 0.8 is equal to \(\frac{8}{10}\), which simplifies to \(\frac{4}{5}\). The second piece is \(\frac{1}{4}\) meter shorter, so we need to subtract: \(\frac{4}{5} - \frac{1}{4}\). To do this, find a common denominator, which is 20. \(\frac{4}{5} = \frac{16}{20}\) and \(\frac{1}{4} = \frac{5}{20}\). Now subtract: \(\frac{16}{20} - \frac{5}{20} = \frac{11}{20}\). The length of the second piece is \(\frac{11}{20}\) meters.

To compare the distances, convert all values to decimals. Aiden's distance is 0.6 miles. Bella's distance is \(\frac{3}{4}\), which is \(3 \div 4 = 0.75\) miles. Carlos's distance is \(\frac{5}{8}\), which is \(5 \div 8 = 0.625\) miles. Comparing the decimals: 0.6, 0.75, and 0.625. The greatest value is 0.75, so Bella lives farthest from school.

To find the value halfway between two numbers, first express them in the same format. Convert \(\frac{2}{5}\) to a decimal: \(2 \div 5 = 0.4\). Now find the average of 0.1 and 0.4 by adding them and dividing by 2: \((0.1 + 0.4) \div 2 = 0.5 \div 2 = 0.25\). Finally, convert the result, 0.25, back to a fraction. The decimal 0.25 is equivalent to \(\frac{25}{100}\), which simplifies to \(\frac{1}{4}\).

This question tests the ability to convert between decimals and fractions, a key skill in ISEE Lower Level Mathematics Achievement. Converting between decimals and fractions involves understanding place value and equivalent values; for example, 0.5 is equivalent to 1/2 because it represents half. In the given scenario, Noah poured 1/2 cup of water, and we need to find the decimal equivalent of 1/2. The correct answer is 0.50 (or 0.5) because when we divide 1 by 2, we get 0.5, which represents half or 50 hundredths. A common distractor might be 0.25, which is 1/4 not 1/2, or 0.20 which is 1/5, showing confusion with common fraction values. To help students: Remember that 1/2 means one divided by two, which equals 0.5 or 0.50. Use visual aids like a circle cut in half to reinforce that 1/2 = 0.5 = 50%.

This question tests the ability to convert between decimals and fractions, a key skill in ISEE Lower Level Mathematics Achievement. Converting between decimals and fractions involves understanding place value and equivalent values; for example, 0.5 is equivalent to 1/2 because it represents half. In the given scenario, Mina made 3/4 of her free throws, and we need to find the decimal equivalent of 3/4. The correct answer is 0.75 because when we divide 3 by 4, we get 0.75, or we can think of it as 3/4 = 75/100 = 0.75. A common distractor might be 0.34, which incorrectly combines the digits 3 and 4 without performing division, or 0.80 which represents 4/5, not 3/4. To help students: Practice dividing the numerator by the denominator using long division or a calculator to convert fractions to decimals. Remember that 3/4 means 3 divided by 4, which equals 0.75.

This question tests the ability to convert between decimals and fractions, a key skill in ISEE Lower Level Mathematics Achievement. Converting between decimals and fractions involves understanding place value and equivalent values; for example, 0.5 is equivalent to 1/2 because it represents half. In the given scenario, Leila saved 0.40 of her money, and we need to convert 0.40 to a fraction. The correct answer is 2/5 because 0.40 means 40 hundredths, which can be written as 40/100, and when simplified by dividing both parts by 20, we get 2/5. A common distractor might be 4/10, which is equivalent but not in simplest form, or 1/4 which equals 0.25, not 0.40. To help students: Always simplify fractions to lowest terms by finding the greatest common factor. Practice checking your work by converting the fraction back to a decimal: 2/5 = 2 ÷ 5 = 0.40.

This question tests the ability to convert between decimals and fractions, a key skill in ISEE Lower Level Mathematics Achievement. Converting between decimals and fractions involves understanding place value and equivalent values; for example, 0.5 is equivalent to 1/2 because it represents half. In the given scenario, Aisha used a coupon for $0.50 off, and we need to find the fraction that equals 0.50. The correct answer is 1/2 because 0.50 means 50 hundredths, which simplifies to 50/100 = 1/2 when we divide both numerator and denominator by 50. A common distractor might be 1/20, which represents 0.05, not 0.50, showing confusion with decimal place values. To help students: Practice converting decimals with zeros by first writing them as fractions over powers of 10, then simplifying. Remember that 0.50 = 0.5, and think of common benchmark fractions like 1/2, 1/4, and 3/4.