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# Leo hiked 6/7 of a kilometer Jericho hiked 2/3 kilometer who covered a longer distance? how much distance? asked:given:draw a picture:operation: number sentence: solution:check and look back​

Answer:

Leo covered the longer distance.

He covered ‌4⁄21‌ kilometer longer than Jericho.

Step-by-step explanation:

Word Problem

The problem is asking about the one who covered the longer distance and how much longer it is. There are two steps to find the answer.

Find who covered the longer distance by comparing the fractions.

Find how much longer it is by subtracting the fractions.

Given:

Leo – ‌6⁄7‌ km

Jericho – ‌2⁄3 km

Solution:

Step 1: Comparing Fractions

Notice that the given fractions are dissimilar. To compare them, you have to make them similar first. To make them similar, find the least common denominator, then divide it by the denominator times the numerator.

L C D: 21

Leo: 6⁄7‌ = 21 ÷ 7 × 6 = 18 = ‌18⁄21

Jericho: ‌2⁄3 = ‌21 ÷ 3 × 2 = 14 = 14⁄21

‌18⁄21 > 14⁄21

Now that they are already similar, compare the numerators. The greater the numerator, the grater the value.

Leo covered the longer distance.

Step 2: Subtract

18⁄21 – 14⁄21 = 4⁄21

Leo covered ‌4⁄21‌ kilometer longer than Jericho.

Step-by-step explanation: