Question

Write the two fractions with the Lowest Common Denominator. 1/4 and 7/10.

A. 5/20 and 14/20
B. 10/40 and 28/40
C. 10/40 and 7/40
D. 5/10 and 7/10

Answer 1

The two fractions with the lowest common denominator for 1/4 and 7/10 are 2/20 and 7/10.

Step-by-step explanation:

To find the lowest common denominator for fractions, we need to find the smallest multiple that both denominators can divide evenly into. For 1/4 and 7/10, the lowest common denominator is 20. To get this, we multiply the denominator of the first fraction (4) by the reciprocal of the second fraction's denominator (2/5), giving us 20.

To find the new numerators, we multiply the first numerator (1) by the same reciprocal (2/5), resulting in 2/20. The second fraction, 7/10, can stay the same because its denominator is already 10. So the two fractions with the lowest common denominator are 2/20 and 7/10.