# Word Problems of Comparing and Ordering Rational Numbers

Word problems are utilized to understand comparing and ordering rational numbers betters.

### Word Problems of Comparing and Ordering Rational Numbers – Examples 1

Sam and Timothy just hiked towards each other in a 4-mile walk. Sam hikes it in 2.5 hours, and Timothy hikes it in $$1 \frac{4}{5}$$ hours. Who has been on the road the most?
Solutions:
Step 1: Write 2.5 as a mixed number: $$2.5→2 \frac{1}{2}$$
Step 2: Now compare the numbers. $$2 \frac{1}{2}>1 \frac{4}{5}$$
Sam has been on the road the most.

Word Problems of Comparing and Ordering Rational Numbers – Examples 2

Liam heard that it snowed 9.4 inches, and Mason heard that it snowed $$9 \frac{3}{5}$$ inches. Who heard that it snowed less?
Solutions:
Step 1: Write 9.4 as a mixed number. $$9.4→9 \frac{2}{5}$$
Step 2: Now compare the numbers. $$9 \frac{2}{5}<9 \frac{3}{5}$$
Liam heard that it snowed less.

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