Explain how to compare 0.7 and 5/8.

Method #1: Convert everything to fractions and cross multiply to compare

0.7 turns into 7/10

So we need to compare 7/10 and 5/8 to see which is larger (or if they are equal). Let's assume for now that they are equal. So we have

7/10 = 5/8

Cross multiply to get

7*8 = 10*5
56 = 50

the left side is larger so we should update the equal sign to a "greater than" sign like so

56 > 50

Change the equal sign in the original problem to a "greater than" sign as well

7/10 > 5/8

So 0.7 is larger than 5/8



Method #2: Convert everything to decimal form and compare

0.7 is already in decimal form
5/8 = 0.625 after using a calculator or long division

0.7 is the same as 0.700

Comparing 0.700 to 0.625 we see that 0.700 is larger (since 700 is larger than 625)

So 0.7 is larger than 5/8