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29 problems match “fractions”. Clear

Next term of a fraction sequence ●○○○○ 10 ptsFind the next term of the sequence $0, 0.5, 0.\overline{6}, 0.75, \dots$ and give it as a decimal. Round to three decimal places.
Ratio of alternating sums ●○○○○ 10 ptsFind the value of $\frac{2-4+6-8+10-12+14}{3-6+9-12+15-18+21}$ as a fraction in lowest terms. Give the numerator and the denominator.
Average of integers between two fractions ●○○○○ 10 ptsWhat is the average of all the integer values of $M$ such that $\frac{M}{56}$ is strictly between $\frac{3}{7}$ and $\frac{1}{4}$ ?
Ratio of alternating power-of-two sums ●○○○○ 10 ptsCompute $\dfrac{2+4-8+16+32-64}{4+8-16+32+64-128}$ . Give your answer as a decimal.
Fair council representation by enrollment ●○○○○ 10 ptsThe 7th and 8th grades have enrollments of 520 and 650 students respectively. The two grades have a total of 18 representatives on the Student Council. Assuming representation is fair when the seats are allotted in proportion to enrollment, how many representatives should the 8th grade have?
Boys and total strength of a class ●○○○○ 10 ptsIn a class, $\frac{2}{3}$ of the students are boys and the rest, 17 students, are girls. (i) How many boys are in the class? (ii) What is the total number of students in the class?
Hundredth term of a fraction sequence ●○○○○ 10 ptsThe sequence $\frac{1}{2}, \frac{3}{5}, \frac{5}{8}, \frac{7}{11}, \frac{9}{14}, \ldots$ follows a pattern. Find the 100th term of the sequence. Round your answer to two decimal places.
Missing term in a fraction sequence ●○○○○ 10 ptsFind the missing term in the sequence $1, \frac{3}{2}, \_\_\_, \frac{7}{8}, \frac{9}{16}$ . Give your answer as a decimal.
Adding unlike fractions ●○○○○ 10 ptsEvaluate $\frac{1}{8} + \frac{5}{12}$ without using a calculator. Give your answer as a decimal rounded to two decimal places.
Adding a fraction and a mixed number ●○○○○ 10 ptsFind $\frac{3}{4}+2\frac{1}{3}$ as a decimal. Round to two decimal places.