Mathematical Comparison: Which Decimal is Greater?

Let's first convert the decimal numbers into simple fractions and compare them:

0.77 is divided by 100 because there are two digits after the decimal point, therefore:

$0.77=\frac{77}{100}$

0.7 is divided by 10 because there is only one digit after the decimal point, therefore:

$0.7=\frac{7}{10}$

Let's compare the numbers in the numerator:

\frac{77}{100}>\frac{7}{10}

Therefore, the larger number is 0.77.