No, \(\frac{1}{10}\) < \(\frac{7}{10}\)
These fractions already share the same denominator: 10. We just need to compare the numerators.
A quicker way to compare fractions is to cross-multiply. Multiply each numerator by the other fraction's denominator:
Convert each fraction to a decimal by dividing the numerator by the denominator:
Since 0.1 is less than 0.7, we confirm that \(\frac{1}{10} < \frac{7}{10}\). In percentage terms, \(\frac{1}{10}\) is 10% and \(\frac{7}{10}\) is 70%, a difference of 60 percentage points.
When two fractions share the same denominator, the pieces are the same size. A fraction with more pieces (a larger numerator) is simply a larger amount. Since 7 pieces is more than 1 pieces of the same size, \(\frac{7}{10}\) is the larger fraction.
\(\frac{7}{10}\) is bigger. As a decimal, \(\frac{7}{10}\) = 0.7 while \(\frac{1}{10}\) = 0.1.
The difference is \(\frac{3}{5}\), which equals 0.6 in decimal form (60 percentage points).
You can use three methods: find a common denominator and compare numerators, cross-multiply and compare the products, or convert both fractions to decimals. All three methods confirm that \(\frac{7}{10}\) \(>\) \(\frac{1}{10}\).