Which fraction is equivalent to 7/8 ?
The Correct Answer and Explanation is:
The fraction equivalent to 78\frac{7}{8}87 can be obtained by multiplying both the numerator and the denominator by the same number. This process is known as finding an equivalent fraction. To keep the value of the fraction the same, we can multiply both the numerator and denominator by any non-zero number.
For example:
- Multiply both the numerator and denominator of 78\frac{7}{8}87 by 2: 78×22=1416\frac{7}{8} \times \frac{2}{2} = \frac{14}{16}87×22=1614 So, 1416\frac{14}{16}1614 is an equivalent fraction to 78\frac{7}{8}87.
- Multiply both by 3: 78×33=2124\frac{7}{8} \times \frac{3}{3} = \frac{21}{24}87×33=2421 Thus, 2124\frac{21}{24}2421 is also an equivalent fraction.
- Multiply by 5: 78×55=3540\frac{7}{8} \times \frac{5}{5} = \frac{35}{40}87×55=4035 Hence, 3540\frac{35}{40}4035 is another equivalent fraction.
In general, an equivalent fraction is one where the ratio of the numerator to the denominator is the same as the original fraction. In these examples, we’re simply multiplying the fraction 78\frac{7}{8}87 by different forms of 1 (i.e., 22\frac{2}{2}22, 33\frac{3}{3}33, and 55\frac{5}{5}55), which doesn’t change its value.
Therefore, 1416\frac{14}{16}1614, 2124\frac{21}{24}2421, and 3540\frac{35}{40}4035 are all equivalent fractions to 78\frac{7}{8}87.
