Put these numbers in order from least to greatest. Order Items: [[-5 4/25][5 24/32][5]]

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison. -5 4/25 = (-5 * 25 + 4) / 25 = (-125 + 4) / 25 = -121/25 5 24/32 = (5 * 32 + 24) / 32 = (160 + 24) / 32 = 184/32, simplify 184/32 = 23/4 5 = 5/1Find Common Denominator: Compare the fractions by finding a common denominator. Common denominator for 25, 4, and 1 is 100. -121/25 = -484/100 23/4 = 575/100 5/1 = 500/100Order Fractions and Convert: Order the fractions from least to greatest. -484/100, 500/100, 575/100 Convert back to mixed numbers: -484/100 = -4 84/100 = -4 21/25 (simplified) 500/100 = 5 575/100 = 5 75/100 = 5 3/4 (simplified)

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Math Problems

Grade 7

Equal quotients of integers

Full solution

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

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Order Items:

[-5 \frac{4}{25}][5 \frac{24}{32}][5]

Convert to Improper Fractions: Convert mixed numbers to improper fractions for easier comparison. $\newline$ $-5 \frac{4}{25} = (-5 \times 25 + 4) / 25 = (-125 + 4) / 25 = -\frac{121}{25}$ $\newline$ $5 \frac{24}{32} = (5 \times 32 + 24) / 32 = (160 + 24) / 32 = \frac{184}{32}$ , simplify $\frac{184}{32} = \frac{23}{4}$ $\newline$ $5 = \frac{5}{1}$
Find Common Denominator: Compare the fractions by finding a common denominator. $\newline$ Common denominator for $25$ , $4$ , and $1$ is $100$ . $\newline$ $-\frac{121}{25} = -\frac{484}{100}$ $\newline$ $\frac{23}{4} = \frac{575}{100}$ $\newline$ $\frac{5}{1} = \frac{500}{100}$
Order Fractions and Convert: Order the fractions from least to greatest. $\newline$ $-\frac{484}{100}, \frac{500}{100}, \frac{575}{100}$ $\newline$ Convert back to mixed numbers: $\newline$ $-\frac{484}{100} = -4 \frac{84}{100} = -4 \frac{21}{25}$ (simplified) $\newline$ $\frac{500}{100} = 5$ $\newline$ $\frac{575}{100} = 5 \frac{75}{100} = 5 \frac{3}{4}$ (simplified)