Rational to Decimal Worksheets Grade 7

1. 0.375 × 2.8 ÷ 0.7 = ?
2. A square garden is drawn on a coordinate plane with vertices at (0, 0), (21, 0), (21, 21), and (0, 21). Inside the garden, a circular flower bed is centered at (11, 11) with a radius of 6 units. What is the area of the garden that is not covered by the flower bed? Use 3.14 for π.
3. 0.75 × 1.2 ÷ 0.5 = ?

…and 3 more problems

1. Olivia is knitting a scarf and needs to use a specific stitch pattern. The pattern requires that for every 3 rows of a certain stitch, she uses 7 rows of a different stitch. She has completed a total of 33 rows. What fraction of the completed rows are the first type of stitch? Express your answer as a decimal.
2. Emma is conducting a science experiment to create a saltwater solution. She needs to mix 0.6 kilograms of salt with 1.8 kilograms of water. What decimal represents the fraction of the total mixture that is salt?
3. Tane is drawing a large geometric design on a coordinate grid. He plots a square with vertices at (0, 0), (18, 0), (18, 18), and (0, 18). Inside the square, he draws a shaded rhombus (diamond) with vertices at (9, 3), (15, 9), (9, 15), and (3, 9). What is the area of the unshaded region inside the square? Express your answer as a decimal.

…and 3 more problems

1. Aroha is designing a large geometric pattern on a coordinate grid. She draws a rectangle with vertices at (0, 0), (36, 0), (36, 24), and (0, 24). Inside the rectangle, she draws a diagonal line from (0, 0) to (36, 24). She then shades the triangular region below this diagonal. What fraction of the rectangle's area is shaded? Express your answer as a decimal.
2. Olivia is designing a mosaic pattern on a coordinate grid. She draws a large square with vertices at (0, 0), (15, 0), (15, 15), and (0, 15). Inside this square, she marks a smaller square with vertices at (3, 3), (12, 3), (12, 12), and (3, 12). What fraction of the area of the large square is the area of the smaller square? Express your answer as a decimal.
3. Mason is building a model of a Ferris wheel for a school project. The plans indicate that the circumference of the wheel is 7/9 of the total height of the structure. Mason needs to convert this fraction to a decimal to program a motor controller. What is 7/9 written as a repeating decimal? Use a bar over the repeating digit(s).

…and 4 more problems