187k views
4 votes
A¹⁴/³⁵ foot block of wood is cut to three-quarters of its original length. What is its new length?

User Eric MJ
by
8.2k points

1 Answer

4 votes

Final answer:

To calculate the new length, multiply the original length of the ¹⁴/³⁵ foot block by three-quarters (¾). The new length is 69/70 feet.

Step-by-step explanation:

To find the new length of a ¹⁴/³⁵ foot block of wood after it is cut to three-quarters of its original length, multiply the original length by ¾:

  • Convert the mixed fraction to an improper fraction: ¹⁴/³⁵ = (3 × 14) + 4 = 42 + 4 = 46, so ¹⁴/³⁵ = 46/35
  • Multiply the original length by ¾: (46/35) × (¾) = (46/35) × (3/4)
  • Perform the multiplication: (46 × 3) / (35 × 4) = 138/140
  • Simplify this fraction: 138/140 = 69/70

The new length of the block of wood is 69/70 feet.

User Daniel Bower
by
7.9k points