# 14.4 inches equals 14 3/8 inches

by Steve
(Toronto)

I'm using a carpenters square and the answer comes out to 14.4 inches the book says this is close enough to 14 3/8 inches. How do they get the 3/8 from .4

### Comments for 14.4 inches equals 14 3/8 inches

 Nov 10, 2011 Convert Fractions to Decimals by: Staff Question:by Steve (Toronto)I'm using a carpenters square and the answer comes out to 14.4 inches the book says this is close enough to 14 3/8 inches. How do they get the 3/8 from .4Answer:3/8 = 3 ÷ 8 = 0.3750.375 rounded to the nearest 1/10th = 0.4Although 0.375 and 0.4 are both decimals, the rounding process is similar to rounding \$375 to the nearest hundred dollars. \$375 rounded to the nearest hundred dollars = \$400.As a basis of comparison, here is a list of 0.375 rounded to four different levels of accuracy:0.375 rounded to the nearest 1/1000th = 0.375 (no change)0.375 rounded to the nearest 1/100th = 0.380.375 rounded to the nearest 1/10th = 0.40.375 rounded to the nearest 1 = 0To convert 0.4 to a fraction of 1/8th , multiply 0.4 * (8/8)The fraction (8/8) is equal to 1, so the decimal 0.4 is merely being multiplied by 1. As you can see by the following illustration, its value has not been changed. = 0.4 = 0.4 * (8 / 8 )= 0.4 * 1 = 0.4 Multiply both numerators and multiply both denominators, just as you would when multiplying any two fractions: 0.4 * (8 / 8) = (0.4 / 1) * (8 / 8)= (0.4 * 8) / (1 * 8)= (3.2) / (8)Now round the 3.2 to the nearest whole number= (3) / (8)= 3 / 80.4 ≈ 3 / 8Thanks for writing.Staff www.solving-math-problems.com