Put these numbers in order from least to greatest. Order Items: [[-10][10 14/35][-10 9/10]]

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison. 10 14/35 = (10 * 35 + 14) / 35 = 364/35. -10 9/10 = (-10 * 10 - 9) / 10 = -109/10.Compare Fractions and Integers: Compare the fractions and integers. -10 (or -10/1), 364/35, and -109/10 need to be compared. Convert -10 to a fraction: -10/1.Find Common Denominator: Find a common denominator to compare -10/1, 364/35, and -109/10. Common denominator of 1, 35, and 10 is 70. -10/1 = -700/70, 364/35 = 728/70, -109/10 = -763/70.Order Fractions: Order the fractions from least to greatest. -763/70 (-10 9/10), -700/70 (-10), 728/70 (10 14/35).

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Put these numbers in order from least to greatest. $\newline$ Order Items: $[-10]$ $[10 \frac{14}{35}]$ $[-10 \frac{9}{10}]$

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Math Problems

Grade 7

Equal quotients of integers

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Q. Put these numbers in order from least to greatest.

\newline

Order Items:

[-10]

[10 \frac{14}{35}]

[-10 \frac{9}{10}]

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison. $\newline$ $10 \frac{14}{35} = (10 \times 35 + 14) / 35 = \frac{364}{35}$ . $\newline$ $-10 \frac{9}{10} = (-10 \times 10 - 9) / 10 = \frac{-109}{10}$ .
Compare Fractions and Integers: Compare the fractions and integers. $\newline$ $-10$ (or $-\frac{10}{1}$ ), $\frac{364}{35}$ , and $-\frac{109}{10}$ need to be compared. $\newline$ Convert $-10$ to a fraction: $-\frac{10}{1}$ .
Find Common Denominator: Find a common denominator to compare $-\frac{10}{1}$ , $\frac{364}{35}$ , and $-\frac{109}{10}$ . $\newline$ Common denominator of $1$ , $35$ , and $10$ is $70$ . $\newline$ $-\frac{10}{1} = -\frac{700}{70}$ , $\frac{364}{35} = \frac{728}{70}$ , $-\frac{109}{10} = -\frac{763}{70}$ .
Order Fractions: Order the fractions from least to greatest. $\newline$ $-\frac{763}{70}$ ( $-10 \frac{9}{10}$ ), $-\frac{700}{70}$ ( $-10$ ), $\frac{728}{70}$ ( $10 \frac{14}{35}$ ).